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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):
...
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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
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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
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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.