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8
student
Yea
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student
I’ll find that too now
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volunteer
You only need to find the area of one base because the pyramid is on the other one
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student
Now I got 5,760
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volunteer
Yes, thats right
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student
Okay
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volunteer
Now, lets find the SA of the pyramid.
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student
Don’t you do the base x height and divide that by two?
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volunteer
Yes
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student
Okay
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student
Is it 4,704?
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volunteer
How did you get that?
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student
I did 1200 then divided that by two which is 600 then I multiplied that by 4 which is 2400 then I added that to 48x48 which is 4,704
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volunteer
You actually don't need to add that to 48x48 because it is not on the "surface" so it is not part of the surface area.
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volunteer
It would just be 2400
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student
Ohh okay
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volunteer
5760+2400=?
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student
8160
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volunteer
Yes, so that is the surface area of the entire figure.
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student
Okay
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volunteer
Sorry but I only have time for one more problem. Which one would you like to do?
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student
Can we maybe do the rectangle one that is question 7?
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volunteer
Ok
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volunteer
We will need to use pythagorean theorem again for this problem
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student
Okay
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volunteer
Do you any ideas on where to start?
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student
not really
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volunteer
Lets try to find all the side lengths of this rectangle
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student
Okay
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volunteer
Can you use the grid and pythagorean theorem to solve for side AB
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student
Yea
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student
I got 20?
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student
I’m not sure if that’s right though for the side
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volunteer
Lets go through this together
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student
Okay
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volunteer
It looks like you found c^2
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volunteer
if c^2=20, then what is c
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student
Do you square root 20?
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volunteer
yes
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volunteer
Can you try finding CB?
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student
Is it 4.47
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student
Or do you just leave it like square root 20
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volunteer
We should keep that as square root of 20 because it is technically more precise.
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student
Okay
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student
I got the square root of 45
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volunteer
Yes, thats correct.
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student
Okay
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student
Do you multiply them now?
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volunteer
Yeah, now we have to multiply them.
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student
Okay
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volunteer
You can just do 45x20 and put a square root over the answer.
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student
It’s 30
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volunteer
Great, lets find the perimeter.
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student
Okay
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student
Do you add them now?
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student
Should I do 20 + 45 +20 + 45 then square root it?
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volunteer
When adding square roots, whatever is inside the square root needs to be the same.
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volunteer
For example square root of 7 + square root of 3 can not be added together.
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student
Oh okay
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student
So how do we do this?
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volunteer
we need to simplify the square roots first
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volunteer
Do you know how to do this?
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student
No
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volunteer
Since square root of 20 = square root of 5 x 2 x 2, we can take out the 2.
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student
Why do you take out the two?
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volunteer
This is how we simplify square roots. Hopefully we can simplify square root of 45 to have the same root.
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volunteer
do you want to try simplifying square root of 45?
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student
I’m a little confused
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volunteer
Yeah sorry this is a more confusing topic.
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volunteer
Let me explain it again.
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student
Okay
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volunteer
When we have a number inside of a square root such as 20, we can break it up into its factors and take out numbers that have a pair.
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volunteer
20 = 5 x 2 x 2
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student
Oh
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volunteer
Since 2 has a pair, we can take the 2 outside of the square root
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volunteer
If we were finding the square root of 4, 4 = 2 x 2, since 2 has a pair, we can take the 2 out of the square root.
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volunteer
We are basically just square rooting a certain part of the number and leaving the rest inside.
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student
Okay
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volunteer
Can you try doing this with the square root of 45
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student
I’m sorry I don’t know
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volunteer
Ok, lets do this together.
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volunteer
What are some factors of 45
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student
15x3
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volunteer
Can we break up 15 even more?
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student
5x3
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volunteer
Since 3 has a pair, we can take that out of the square root and leave the 5 inside.
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student
So it would be 5 then the square root of 3
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student
Oh wait
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student
The opposite
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volunteer
Yeah
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student
3 then the square root of 5
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volunteer
Now that we simplified the square roots, lets get back to the problem.
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student
Okay
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volunteer
Now that the square root is the same, we can just add 2+2+3+3
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student
Okay
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volunteer
If you put 10 root 5 into a calculator you should get 22.4
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volunteer
Ok, I need to go now
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student
Yes
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student
Okay
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volunteer
Great work today!
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