category stringclasses 3
values | subcategory stringclasses 18
values | question stringlengths 4 629 | answer float64 -273,260,096,089 713,712,038B | reasoning stringlengths 9 516 ⌀ | source stringclasses 6
values |
|---|---|---|---|---|---|
Geometry | geometry | the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 675 sq m , then what is the breadth of the rectangular plot ? | 15 | import math
n0 = 675.0
t0 = n0 / 3.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 40 - sided polygon have ? | 740 | n0 = 40.0
t0 = n0 - 3.0
t1 = n0 * t0
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ? | 12 | n0 = 8.0
n1 = 6.0
n2 = 48.0
n3 = 1.0
n4 = 1.0
t0 = n0 + n1
answer = t0 - 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner... | 7 | n0 = 9.0
n1 = 1.0
n2 = 2.0
n3 = 3.0
n4 = 4.0
n5 = 5.0
n6 = 6.0
n7 = 7.0
n8 = 8.0
n9 = 9.0
n10 = 5.0
n11 = 32.0
n12 = 5.0
n13 = 20.0
t0 = n1 + n2
answer = n4 + t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 4 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle . | 33.333333 | n0 = 5.0
n1 = 4.0
n2 = 75.0
answer = 100.0 / 3.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ? | 24 | import math
n0 = 2304.0
t0 = 1000.0 * 2.0
t1 = 100.0 * 3.0
t2 = t0 + t1
t3 = t2 + 4.0
t4 = t3 / 4.0
answer = math.sqrt(max(0, t4))
print(answer) | MathQA_Geometry |
Geometry | geometry | a hall is 18 meters long and 9 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? | 972 | n0 = 18.0
n1 = 9.0
t0 = n0 * n1 # area of rectangle
t1 = 2 * (n0 + n1) # perimetere of rectangle
t2 = t0 * 2.0
t3 = t2 / t1
answer = n0 * n1 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 3 m , the volume of the box ( in m 3 ) is : | 3,780 | n0 = 48.0
n1 = 36.0
n2 = 3.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | how many diagonals does a polygon with 13 sides have , if one of its vertices does not connect to any diagonal ? | 54 | n0 = 13.0
t0 = n0 - 1.0
t1 = t0 - 3.0
t2 = t0 * t1
answer = t2 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ? | 165 | n0 = 22.0
n1 = 9.0
n2 = 6.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ? | 16 | n0 = 4.0
t0 = n0 * 2.0
answer = t0 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the edge of a cube is 4 a cm . find its surface ? | 96 | n0 = 4.0
answer = 6 * n0**2 # surface of a cube
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ? | 100 | n0 = 20.0
n1 = 800.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ? | 84 | n0 = 0.0
n1 = 3.5
n2 = 12.0
n3 = 0.0
n4 = 0.0
n5 = 3.5
n6 = 12.0
n7 = 0.0
t0 = n2 * 2.0
t1 = n1 * 2.0
answer = t0 * t1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many cubes are painted on only 2 faces ? | 12 | n0 = 27.0
n1 = 2.0
t0 = 1.0 / 3.0
t1 = n0**min(t0, 5)
answer = t1 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | 0.16 | n0 = 2.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 18 inches and the width of the wall is 32 inches , what is the length of the wall , in inches ? | 20.25 | n0 = 18.0
n1 = 32.0
t0 = n0**2
t1 = t0 * 2.0
answer = t1 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the surface area of a 8 cm x 6 cm x 2 cm brick . | 152 | n0 = 8.0
n1 = 6.0
n2 = 2.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady builds 9 cm length , 12 cm width , and 3 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? | 108 | n0 = 9.0
n1 = 12.0
n2 = 3.0
n3 = 3.0
t0 = n0 * n1
t1 = n2 * t0
answer = t1 / n3
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the longest chord of a certain circle is 10 , what is the radius of that certain circle ? | 5 | n0 = 10.0
answer = n0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube has a volume of 216 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | 1,728 | n0 = 216.0
t0 = n0**(1 / 3)
t1 = t0 * 2.0
answer = t1**3
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a triangle is with base 10 m and height 10 m ? | 50 | n0 = 10.0
n1 = 10.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the cost of building to paint which area equal to 196 sq ft , if the price per foot of building is rs . 15 ? | 840 | import math
n0 = 196.0
n1 = 15.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 6 feet , and the diagonal of the rectangular plate was 10 ft . what is height of the of the cylinder ? | 8 | import math
n0 = 34.0
n1 = 6.0
n2 = 10.0
t0 = n2**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | you buy a piece of land with an area of â ˆ š 400 , how long is one side of the land plot ? | 20 | import math
n0 = 400.0
answer = math.sqrt(max(0, n0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area w of that hemisphere ? | 9 | n0 = 4.0
n1 = 2.0
n2 = 3.0
t0 = n2 / 3.141592653589793
t1 = n0 * 3.141592653589793
t2 = t0 * t1
t3 = t0 * 3.141592653589793
t4 = t2 / n1
answer = t4 + t3
print(answer) | MathQA_Geometry |
Geometry | geometry | an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ? | 4.04 | n0 = 2.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is. four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space enc... | 42.06196 | n0 = 7.0
n1 = 7.0
t0 = n0 * 2.0
t1 = n0**min(2.0, 5)
t2 = t1 * 3.141592653589793
t3 = t0**min(2.0, 5)
answer = t3 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 211 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cab... | 11,236 | n0 = 1.0
n1 = 211.0
t0 = n1 - n0
t1 = t0 / 2.0
t2 = n0 + t1
answer = t2**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 60 % ? | 156 | n0 = 60.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the rhombus ( afce ) is inscribed in rectangle ( abcd ) . the length of bf = de . if the rectangle has a width of 20 yards and a length of 25 yards , what would be the total length ( the perimeter ) of a fence along the sides defined by afce ? | 82 | n0 = 20.0
n1 = 25.0
t0 = n1 * 2.0
t1 = n1**min(2.0, 5)
t2 = n0**min(2.0, 5)
t3 = t1 - t2
t4 = t3 / t0
t5 = n1 - t4
answer = t5 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately | 8,912.887774 | import math
n0 = 17.56
n1 = 6.0
t0 = n0 / 3.141592653589793
t1 = math.sqrt(max(0, t0))
t2 = t1 * 100.0
t3 = 2 * math.pi * t2
answer = t3 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? | 4 | import math
n0 = 400.0
n1 = 2.0
n2 = 20.0
t0 = math.sqrt(max(0, n0))
t1 = t0 * 4.0
answer = t1 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ? | 480 | n0 = 52.0
n1 = 48.0
n2 = 20.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ? | 71.982297 | n0 = 14.0
t0 = n0 * 3.141592653589793
t1 = n0 * 2.0
answer = t0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the area of a circle decreases by 36 % , then the radius of a circle decreases by | 20 | import math
n0 = 36.0
t0 = 100.0 - n0
t1 = t0 / 100.0
t2 = math.sqrt(max(0, t1))
t3 = 1.0 - t2
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : | 5,440 | n0 = 50.0
n1 = 36.0
n2 = 8.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 26 cm and height 14 cm ? | 364 | n0 = 26.0
n1 = 14.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the ratio between the length and the breadth of a rectangular plot is 7 : 5 . if the perimeter of the plot is 288 metres , what is its area ? | 5,040 | n0 = 7.0
n1 = 5.0
n2 = 288.0
t0 = n0 / n1
t1 = t0 + 1.0
t2 = t1 * 2.0
t3 = n2 / t2
t4 = n0 * t3
t5 = t4 / n1
answer = t5 * t3 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television ? | 143.5 | n0 = 24.0
n1 = 17.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 / 2.0
t3 = t1 / 2.0
answer = t2 - t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is halved , whileits breadth is tripled . wat is the % change in area ? | 50 | t0 = 1.0 / 2.0
t1 = t0 * 3.0
t2 = t1 - 1.0
t3 = t2 / 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m , find out the area of the field . | 37,500 | n0 = 60.0
n1 = 800.0
t0 = n1 / 2.0
t1 = n0 / 100.0
t2 = t1 + 1.0
t3 = t0 / t2
t4 = t0 - t3
answer = t3 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of one face of a cube is 28 cm . its volume will be : | 343 | n0 = 28.0
t0 = n0 / 4. # square edge given perimeter
answer = t0**3
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ? | 36 | import math
n0 = 2.0
n1 = 60.0
n2 = 48.0
t0 = n1 / 4.0
t1 = n2 / 4.0
t2 = t0**2
t3 = t1**2
t4 = t2 - t3
t5 = math.sqrt(max(0, t4))
answer = 4 * t5
print(answer) | MathQA_Geometry |
Geometry | geometry | find the surface area of a 10 cm * 4 cm * 3 cm brick . | 164 | n0 = 10.0
n1 = 4.0
n2 = 3.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | the largest four - digit number which is a perfect cube , is | 9,261 | t0 = 10.0 * 2.0
t1 = t0 + 1.0
answer = t1**min(3.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | in measuring the sides of a rectangle , one side is taken 7 % in excess , and the other 6 % in deficit . find the error percent in the area calculated from these measurements . | 0.58 | n0 = 7.0
n1 = 6.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | 10 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? | 75 | n0 = 10.0
n1 = 3.0
t0 = n0 * n1
t1 = n0 - 1.0
t2 = n0 * t1
t3 = t2 / 2.0
answer = t3 + t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a lawn is in the form of a rectangle having its sides in the ratio 2 : 3 . the area of the lawn is ( 1 / 6 ) hectares . find the length and breadth of the lawn . | 50 | n0 = 2.0
n1 = 3.0
n2 = 1.0
n3 = 6.0
t0 = 10.0 * 1000.0
t1 = t0 / n3
t2 = n1 * t1
answer = t2 / 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ? | 4.04 | n0 = 2.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the perimeter and area of a square of side 11 cm . | 121 | n0 = 11.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of a square field whose diagonal of length 12 m ? | 72 | n0 = 12.0
t0 = n0**2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | it has been raining at the rate of 5 centimeters per hour . if the rain filled a cylindrical drum with a depth of 15 centimeters , and area 300 square centimeters , how long did it take to fill the drum completely ? | 3 | n0 = 5.0
n1 = 15.0
n2 = 300.0
answer = n1 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length and breadth of a rectangle is increased by 30 % and 45 % respectively . what is the increase in the area ? | 88.5 | n0 = 30.0
n1 = 45.0
t0 = n0 + 100.0
t1 = n1 + 100.0
t2 = 100.0 * 100.0 # area of rectangle
t3 = t0 * t1 # area of rectangle
t4 = t3 - t2
t5 = t4 * 100.0
answer = t5 / t2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm ? | 450 | n0 = 50.0
n1 = 10.0
n2 = 8.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? | 24 | import math
n0 = 27.0
n1 = 8.0
n2 = 9.0
n3 = 12.0
t0 = 1 / 3.0
t1 = n0**min(t0, 5)
t2 = n1 / t1
t3 = n3 / t1
t4 = n2 / t1
t5 = math.floor(t2)
t6 = t3 * t4
answer = t5 * t6
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 60 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? | 104.8 | n0 = 100.0
n1 = 60.0
t0 = n0 / n0
t1 = t0 + 1.0
t2 = n1 * t1
t3 = t1**2
t4 = t3 + 1.0
t5 = t2 / n0
t6 = t1 + t5
t7 = t6**2
t8 = t7 - 1.0
t9 = t8 - 4.0
t10 = t9 / t4
answer = n0 * t10
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of sector of a circle whose radius is 10 metro and whose angle at the center is 42 â ° is ? | 36.666667 | n0 = 10.0
n1 = 42.0
t0 = 3.0 + 4.0
t1 = 3600.0 / 10.0
t2 = 10.0 * 2.0
t3 = n0**min(2.0, 5)
t4 = t2 + 2.0
t5 = n1 / t1
t6 = t4 / t0
t7 = t6 * t3
answer = t5 * t7
print(answer) | MathQA_Geometry |
Geometry | geometry | a football field is 10800 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? | 400 | n0 = 10800.0
n1 = 1200.0
n2 = 3600.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | while visiting a small town in the united states , i lost my overcoat in a bus . when i reported the matter to the bus company i was asked the number of the bus . though i did not remember the exact number i did remember that the bus number bad a certain peculiarity about it . the number plate showed the bus number as ... | 196 | n0 = 5.0
n1 = 100.0
n2 = 1.0
n3 = 500.0
t0 = n1 - 4.0
answer = t0 + 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 3600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 240 | import math
n0 = 3600.0
n1 = 10.0
t0 = n1 / 2.0
t1 = math.sqrt(max(0, n0))
t2 = t1 / t0
t3 = t2 * 2.0
answer = n1 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | when the oil from a circular cylinder leaked , the formula for the speed of the leak is v = kh ^ 2 , where h was the height of the remaining oil and k was constant . if the height of the cylinder is 4 , the speed of the leak is v â € ™ , when the height of the oil remaining is 12 , what was the speed of the leak , in t... | 9 | n0 = 2.0
n1 = 4.0
n2 = 12.0
t0 = n2**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 110 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | 4,800 | n0 = 110.0
n1 = 60.0
n2 = 10.0
n3 = 3.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | spheres a and b have their radil 40 cm and 10 cm respectively . the ratio of the surface area of a to the surface area of b is | 16 | import math
n0 = 40.0
n1 = 10.0
t0 = 4 * math.pi * n0**2
t1 = 4 * math.pi * n1**2
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 910 . the perimeter of the plot is ? | 140 | n0 = 10.0
n1 = 6.5
n2 = 910.0
t0 = n2 / n1
t1 = t0 / 2.0
t2 = t1 - n0
t3 = t2 / 2.0
t4 = t3 + n0
t5 = t4 + t3
answer = t5 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is | 5 | import math
n0 = 10.0
t0 = n0 / 2.0
t1 = 4.0 * 3.141592653589793
t2 = n0 * t0
t3 = t2 * 3.141592653589793
t4 = t3 * 2.0
t5 = t4 / t1
answer = math.sqrt(max(0, t5))
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is ? | 52 | n0 = 5.0
n1 = 10.0
n2 = 16.0
answer = 4.0 * (n2 + n1) / 2 # quadrilateral area
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 10 cm and height 20 cm . | 200 | n0 = 10.0
n1 = 20.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ? | 2.5 | n0 = 5.0
n1 = 10.0
n2 = 5.0
t0 = n1 * n2
t1 = n0**3
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular well with a diameter of 2 meters , is dug to a depth of 14 meters . what is the volume of the earth dug out . | 43.982297 | import math
n0 = 2.0
n1 = 14.0
t0 = n0 / 2.0
answer = math.pi * t0**2 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ? | 85.764706 | n0 = 54.0
n1 = 68.0
t0 = n0**2
t1 = t0 * 2.0
answer = t1 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | triangle a ’ s base is 10 % greater than the base of triangle b , and a ’ s height is 10 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? | 1 | import math
n0 = 10.0
n1 = 10.0
t0 = math.floor(100.0)
t1 = n0 * t0
t2 = t1 / 100.0
t3 = t2 + t0
t4 = t0 - t2
t5 = t3 * t4 / 2
answer = t5 / t5
print(answer) | MathQA_Geometry |
Geometry | geometry | an error 2 % in excess is made while measuring the side ofa square . the % of error in the calculated area of the square is ? | 4.04 | n0 = 2.0
t0 = n0 + 100.0
t1 = 100.0 * 100.0
t2 = t0 * t0
t3 = t2 - t1
answer = t3 / 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ? | 71.982297 | import math
n0 = 14.0
t0 = 2 * math.pi * n0
t1 = n0 * 2.0
t2 = t0 / 2.0
answer = t2 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? | 1,240 | n0 = 3.0
n1 = 5.0
n2 = 2.0
n3 = 20.0
t0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
answer = n3 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 % ? | 4 | n0 = 20.0
n1 = 20.0
t0 = n0 + 100.0
t1 = 100.0 - n0
t2 = t0 * t1
t3 = t2 / 100.0
answer = 100.0 - t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ? | 46.274334 | import math
n0 = 9.0
t0 = 2 * math.pi * n0
t1 = n0 * 2.0
t2 = t0 / 2.0
answer = t2 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain farmer pays $ 60 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre ) | 600 | n0 = 60.0
n1 = 360.0
n2 = 1210.0
n3 = 43560.0
n4 = 1.0
t0 = n1 * n2
t1 = t0 / 10.0
t2 = t0 / t1
answer = n0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the side of a square is increased by 15 % then how much % does its area increases ? | 32.25 | n0 = 15.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular grass field is 60 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? | 1,200 | n0 = 60.0
n1 = 55.0
n2 = 2.5
n3 = 2.0
t0 = n2 * n3
t1 = n0 * n1 # area of rectangle
t2 = n0 + t0
t3 = n1 + t0
t4 = t2 * t3 # area of rectangle
t5 = t4 - t1
answer = n3 * t5
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 7 | import math
n0 = 98.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ? | 360 | n0 = 1.0
n1 = 3.0
n2 = 40.0
t0 = n1 * n1
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is | 8 | import math
n0 = 16.0
t0 = n0 / 2.0
t1 = 4.0 * 3.141592653589793
t2 = n0 * t0
t3 = t2 * 3.141592653589793
t4 = t3 * 2.0
t5 = t4 / t1
answer = math.sqrt(max(0, t5))
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 39 cm , 36 cm and 15 cm , what is its area ? | 270 | n0 = 39.0
n1 = 36.0
n2 = 15.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge . if the floor is 12 meters by 10 meters , what is the area of the rug in square meters ? | 24 | n0 = 3.0
n1 = 12.0
n2 = 10.0
t0 = n0 * 2.0
t1 = n1 - t0
t2 = n2 - t0
answer = t1 * t2 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | a block of wood has dimensions 10 cm x 10 cm x 80 cm . the block is painted red and then cut evenly at the 40 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? | 5.555556 | n0 = 10.0
n1 = 10.0
n2 = 80.0
n3 = 40.0
t0 = 100.0 * 4.0
t1 = t0 * 4.0
t2 = t1 + 100.0
t3 = t2 + 100.0
t4 = 100.0 / t3
answer = t4 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the diameter of a cylindrical tin is 8 cm and height is 5 cm . find the volume of the cylinder ? | 80 | import math
n0 = 8.0
n1 = 5.0
t0 = n0 / 2.0
t1 = math.pi * t0**2 * n1
answer = t1 / 3.141592653589793
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m ^ 3 ) is : | 5,120 | n0 = 48.0
n1 = 36.0
n2 = 8.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the radius of a circle is increased by 12 % , then the area of the circle | 25.44 | n0 = 12.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the width of a rectangular hall is ½ of its length . if the area of the hall is 288 sq . m , what is the difference between its length and breadth ? | 12 | import math
n0 = 288.0
t0 = 1.0 / 2.0
t1 = n0 / t0
t2 = math.sqrt(max(0, t1))
answer = t2 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | each side of a rectangle is increased by 100 % . by what percentage does the area increase ? | 300 | n0 = 100.0
t0 = 2.0 * 2.0
t1 = t0 - 1.0
answer = n0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of sector of a circle whose radius is 18 metro and whose angle at the center is 42 â ° is ? | 118.8 | n0 = 18.0
n1 = 42.0
t0 = 3.0 + 4.0
t1 = 3600.0 / 10.0
t2 = 10.0 * 2.0
t3 = n0**min(2.0, 5)
t4 = t2 + 2.0
t5 = n1 / t1
t6 = t4 / t0
t7 = t6 * t3
answer = t5 * t7
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the sides of two cubes are in the ratio 7 : 1 , what is the ratio of their total surface area ? | 49 | n0 = 7.0
n1 = 1.0
answer = n0 * n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a horse is tethered to one corner of a rectangular grassy field 45 m by 25 m with a rope 22 m long . over how much area of the field can it graze ? | 380.132711 | n0 = 45.0
n1 = 25.0
n2 = 22.0
t0 = n2**min(2.0, 5)
t1 = t0 * 3.141592653589793
answer = t1 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50 , then how long is the base of isosceles triangle ? | 10 | n0 = 60.0
n1 = 50.0
t0 = n0 / 3.0
t1 = n1 - t0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? | 20.92845 | import math
n0 = 219.0
n1 = 3.0
n2 = 3.0
t0 = n0 / 2.0
t1 = math.sqrt(max(0, t0))
answer = t1 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 30 cm and height 12 cm ? | 360 | n0 = 30.0
n1 = 12.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is | 153.93804 | import math
n0 = 18.0
n1 = 14.0
t0 = n1 / 2.0
answer = math.pi * t0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ? | 64 | n0 = 128.0
answer = n0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square land is a square feet and the perimeter is p feet . if 5 a = 10 p + 45 , what is the perimeter of the land , in feet ? | 36 | import math
n0 = 5.0
n1 = 10.0
n2 = 45.0
t0 = n2 / n0
t1 = n1 * 4.0
t2 = t1 / n0
t3 = t0 * 4.0
t4 = t2**min(2.0, 5)
t5 = t3 + t4
t6 = math.sqrt(max(0, t5))
t7 = t2 + t6
t8 = t7 / 2.0
answer = t8 * 4.0
print(answer) | MathQA_Geometry |
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