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Mathematics 17 Online
OpenStudy (anonymous):

volume question

OpenStudy (zale101):

"Two square pyramids have the same volume." This means the both pyramids should have an equal volume. Correct?

OpenStudy (anonymous):

yes

OpenStudy (zale101):

Do you remember the volume of a square pyramid? V = 1/3 * base * height

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

...

OpenStudy (zale101):

V = (1/3)*b ^2*h where V = volume b = the base edge it's squared because this base edge we're looking at is a square h = the height

OpenStudy (zale101):

(1/3)*20^2 * 21 =(1/3) b^2 * 84 solve for b^2

OpenStudy (anonymous):

I'm not sure...

OpenStudy (zale101):

(1/3)*20^2 * 21 is for the first pyramid (1/3) b^2 * 84 for the second pyramid "Two square pyramids have the same volume." so, (1/3)*20^2 * 21 =(1/3) b^2 * 84

OpenStudy (zale101):

let's try this and see how it goes

OpenStudy (anonymous):

Should I just do the left side of the equal sign into my calculator?

OpenStudy (anonymous):

I'm not understand how you solve for b^2

OpenStudy (zale101):

yes and divide the result by 84

OpenStudy (anonymous):

I got 33.3? I don't know..

OpenStudy (zale101):

V = b ^2*h 20^2*21=b^2*84

OpenStudy (zale101):

you would get x=10

OpenStudy (anonymous):

Hmm okay I see how you did it kinda... I'll have to go through it a bunch of times again.

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