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Consider the rectangular prism shown with its height is 12m and the length of its base is $(x+4)m$ and $(x+8)m$ respectively.
Write a fully expanded and simplified expression for the volume of the prism. | 12x^2+144x+384 \mathrm{m}^3 | |
Consider the rectangular prism shown with its height is 12m.
Write a fully expanded and simplified expression for the volume of the prism. | 12x^2+144x+384 \mathrm{m}^3 | |
Consider the solid shown with its height is 12m.
Write a fully expanded and simplified expression for the volume of the solid. | 12x^2+144x+384 \mathrm{m}^3 | |
Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism. | 12x^2+144x+384 \mathrm{m}^3 | |
12x^2+144x+384 \mathrm{m}^3 | ||
A square pyramid is shown with the following dimensions. The height of the square pyramid is 5x+7. Length L is the side of the base of the pyramid.
Find an expression for L, in terms of the variable, x. | \frac{5\left(5x+7\right)}{2x+3} units | |
A square pyramid is shown with the following dimensions. The height of the square pyramid is 5x+7.
Find an expression for L, in terms of the variable, x. | \frac{5\left(5x+7\right)}{2x+3} units | |
A solid is shown with the following dimensions. The height of the solid is 5x+7.
Find an expression for L, in terms of the variable, x. | \frac{5\left(5x+7\right)}{2x+3} units | |
A square pyramid is shown with the following dimensions.
Find an expression for L, in terms of the variable, x. | \frac{5\left(5x+7\right)}{2x+3} units | |
\frac{5\left(5x+7\right)}{2x+3} units | ||
As shown in the figure, the height of the cylindrical water tank is 3x and the radius of its base is 5x+3. The cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\rig... | 63\pi x^3+66\pi x^2+15\pi x litres | |
As shown in the figure, the height of the cylindrical water tank is 3x. The cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified... | 63\pi x^3+66\pi x^2+15\pi x litres | |
As shown in the figure, the height of the water tank is 3x. The water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form... | 63\pi x^3+66\pi x^2+15\pi x litres | |
As shown in the figure, the cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form. | 63\pi x^3+66\pi x^2+15\pi x litres | |
63\pi x^3+66\pi x^2+15\pi x litres | ||
Consider the cube shown. Its length of side is $x+4$.
Find the polynomial that represents the volume of the cube. | $x^{3}+12 x^{2}+48 x+64$ | |
Consider the cube shown.
Find the polynomial that represents the volume of the cube. | $x^{3}+12 x^{2}+48 x+64$ | |
Consider the solid shown.
Find the polynomial that represents the volume of the solid. | $x^{3}+12 x^{2}+48 x+64$ | |
Consider the cube shown.
Find the polynomial that represents the volume of the cube. | $x^{3}+12 x^{2}+48 x+64$ | |
$x^{3}+12 x^{2}+48 x+64$ | ||
The volume of a cylinder is given by $V=\pi r^{2} h$. The radius of its circle face is 6cm. The height of it is 8cm.
Find the volume of the cylinder shown, rounding your answer to two decimal places. | Volume $=904.78 \mathrm{~cm}^{3}$ | |
Find the volume of the cylinder shown, whose height is 8 cm, rounding your answer to two decimal places. | Volume $=904.78 \mathrm{~cm}^{3}$ | |
Find the volume of the solid shown, whose height is 8 cm, rounding your answer to two decimal places. | Volume $=904.78 \mathrm{~cm}^{3}$ | |
Find the volume of the cylinder shown, rounding your answer to two decimal places. | Volume $=904.78 \mathrm{~cm}^{3}$ | |
Volume $=904.78 \mathrm{~cm}^{3}$ | ||
Find the volume of the prism shown. The height of the prism is 2cm. The Volume of any prism= area of cross section $\times$ depth. | $299 \mathrm{~cm}^{3}$ | |
Find the volume of the prism shown. The height of the prism is 2cm. | $299 \mathrm{~cm}^{3}$ | |
Find the volume of the solid shown. The height of the solid is 2cm. | $299 \mathrm{~cm}^{3}$ | |
Find the volume of the prism shown. | $299 \mathrm{~cm}^{3}$ | |
$299 \mathrm{~cm}^{3}$ | ||
As shown in the figure, the height of the rectangular prism is 10cm. The base of the rectangular prism is a square with length of side of 13cm. Calculate the volume of the rectangular prism in the figure. | $1690cm^2$ | |
As shown in the figure, the height of the rectangular prism is 10cm. Calculate the volume of the rectangular prism in the figure. | $1690cm^2$ | |
As shown in the figure, the height of the solid is 10cm. Calculate the volume of the solid in the figure. | $1690cm^2$ | |
Calculate the volume of the rectangular prism in the figure. | $1690cm^2$ | |
$1690cm^2$ | ||
Each side length of the cube is equal to 12cm. Find the volume of the cube shown. | $144cm^3$ | |
Each side length of the cube is equal. Find the volume of the cube shown. | $144cm^3$ | |
Find the volume of the solid shown. | $144cm^3$ | |
Each side length of the cube is equal. Find the volume of the cube shown. | $144cm^3$ | |
$144cm^3$ | ||
As shown in the figure, the length, width and height of the rectangular prism are 2cm, 8cm, 3cm respectively. Find the volume of the rectangular prism. | 48 \mathrm{cm}^3 | |
As shown in the figure, the height of the rectangular prism is 3cm. Find the volume of the rectangular prism. | 48 \mathrm{cm}^3 | |
As shown in the figure, the height of the solid is 3cm. Find the volume of the solid. | 48 \mathrm{cm}^3 | |
Find the volume of the rectangular prism. | 48 \mathrm{cm}^3 | |
48 \mathrm{cm}^3 | ||
As shown in the figure, the height of the triangular prism is 8cm and the length of its right triangle's sides are 2cm and 4cm respectively. Find the volume of the triangular prism. | 32 \mathrm{cm}^3 | |
As shown in the figure, the height of the triangular prism is 8cm. Find the volume of the triangular prism. | 32 \mathrm{cm}^3 | |
As shown in the figure, the height of the solid is 8cm. Find the volume of the solid. | 32 \mathrm{cm}^3 | |
Find the volume of the triangular prism. | 32 \mathrm{cm}^3 | |
32 \mathrm{cm}^3 | ||
As shown in the figure, the width and height of the base are 4cm, 8cm respectively. The height of the prism is 2cm. Find the volume of the prism. | 32 \mathrm{cm}^3 | |
As shown in the figure, the height of the prism is 2cm. Find the volume of the prism. | 32 \mathrm{cm}^3 | |
As shown in the figure, the height of the prism is 2cm. Find the volume of the solid. | 32 \mathrm{cm}^3 | |
Find the volume of the prism. | 32 \mathrm{cm}^3 | |
32 \mathrm{cm}^3 | ||
As shown in the figure, the base of the prism is $30cm^2$ and the height of the prism is 9cm. Find the volume of the prism shown. | 270 \mathrm{cm}^3 | |
As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown. | 270 \mathrm{cm}^3 | |
As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown. | 270 \mathrm{cm}^3 | |
Find the volume of the prism shown. | 270 \mathrm{cm}^3 | |
270 \mathrm{cm}^3 | ||
As shown in the figure, the height of the base is 14cm. The height of the prism is 3 cm. Find the volume of the prism. | 399 \mathrm{cm}^3 | |
As shown in the figure, the height of the base is 14cm. Find the volume of the prism. | 399 \mathrm{cm}^3 | |
As shown in the figure, the height of the base is 14cm. Find the volume of the solid. | 399 \mathrm{cm}^3 | |
Find the volume of the prism. | 399 \mathrm{cm}^3 | |
399 \mathrm{cm}^3 | ||
The solid in the figure is constructed by 3 segments, 2 of segments are same cylinder on each side of the solid with radius of 11. The cylinder in the middle has radius of 4. Calculate the volume of the solid. Round your answer to one decimal place. | 1608.5 | |
The solid in the figure is constructed by 3 segments, 2 of segments are same cylinder on each side of the solid with radius of 11. Calculate the volume of the solid. Round your answer to one decimal place. | 1608.5 | |
As shown in the figure, 2 of segments are cylinders on each side of the solid with radius of 11. Calculate the volume of the solid. Round your answer to one decimal place. | 1608.5 | |
The solid in the figure is constructed by 3 segments, 2 of segments are same cylinder on each side of the solid. Calculate the volume of the solid. Round your answer to one decimal place. | 1608.5 | |
1608.5 | ||
As the solid shown in the figure, the seven marked edges have the same length. The height of the prism of 16 cm. Find the volume of the composite solid shown. | 3136 \mathrm{cm}^3 | |
As the solid shown in the figure, the seven marked edges have the same length. The height of the prism of 16 cm. Find the volume of the composite solid shown. | 3136 \mathrm{cm}^3 | |
The height of the prism of 16 cm. Find the volume of the composite solid shown. | 3136 \mathrm{cm}^3 | |
As the solid shown in the figure, the seven marked edges have the same length. Find the volume of the composite solid shown. | 3136 \mathrm{cm}^3 | |
3136 \mathrm{cm}^3 | ||
The length and width of the base of the pyramid in the figure are 3cm and 9cm respectively. Find the volume of the pyramid to one decimal place. | 125.3 \mathrm{cm}^3 | |
The width of the pyramid in the figure is 9cm. Find the volume of the pyramid to one decimal place. | 125.3 \mathrm{cm}^3 | |
The width of the solid in the figure is 9cm. Find the volume of the solid to one decimal place. | 125.3 \mathrm{cm}^3 | |
Find the volume of the pyramid to one decimal place. | 125.3 \mathrm{cm}^3 | |
125.3 \mathrm{cm}^3 | ||
The height of the right pyramid is 7mm, the length of its base's side is 11mm. Find the exact volume of the right pyramid pictured. | \frac{847}{3} \mathrm{mm}^3 | |
The height of the right pyramid is 7mm. Find the exact volume of the right pyramid pictured. | \frac{847}{3} \mathrm{mm}^3 | |
The height of the solid is 7mm. Find the exact volume of the right solid. | \frac{847}{3} \mathrm{mm}^3 | |
Find the exact volume of the right pyramid pictured. | \frac{847}{3} \mathrm{mm}^3 | |
\frac{847}{3} \mathrm{mm}^3 | ||
As shown in the figure, the solid is constructed by a cone and semi-sphere. The radius of the cone is 3cm and its height is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | 169.65 \mathrm{cm}^3 | |
As shown in the figure, the solid is constructed by a cone and semi-sphere. The height of the cone is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | 169.65 \mathrm{cm}^3 | |
As shown in the figure, part of the solid is a cone. The height of the cone is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | 169.65 \mathrm{cm}^3 | |
As shown in the figure, the solid is constructed by a cone and semi-sphere. Find the volume of the composite figure shown, correct to two decimal places. | 169.65 \mathrm{cm}^3 | |
169.65 \mathrm{cm}^3 | ||
A pyramid has been removed from a rectangular prism, as shown in the figure. The height of the rectangular prism is 8cm, its length and width are 15cm and 9cm respectively. Find the volume of this composite solid. | 720 \mathrm{cm}^3 | |
A pyramid has been removed from a rectangular prism, as shown in the figure. The height of the rectangular prism is 8cm. Find the volume of this composite solid. | 720 \mathrm{cm}^3 | |
A pyramid has been removed from a solid, as shown in the figure. The height of the solid is 8cm. Find the volume of this composite solid. | 720 \mathrm{cm}^3 | |
A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid. | 720 \mathrm{cm}^3 | |
720 \mathrm{cm}^3 | ||
Find the height h mm of this closed cylinder if its surface area (S) is $27288$mm2 and the radius (r) of its circular faces is 43mm.
Round your answer to the nearest whole number. | 58 | |
Find the height h mm of this closed cylinder if its surface area (S) is $27288$mm2.
Round your answer to the nearest whole number. | 58 | |
Find the height h mm of this closed solid if its surface area (S) is $27288$mm2.
Round your answer to the nearest whole number. | 58 | |
Find the h mm of this closed cylinder if its surface area (S) is 27288 mm$^2$.
Round your answer to the nearest whole number. | 58 | |
58 |
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