If the volumes of both solids are the same, which of the following corresponds to the value of a: the side length of the base of the square prism?

Question

anonymous · Answer

attachment

directrix · Answer

This reminds me of Cavalieri’s Principle.

anonymous · Answer

i just dont know what to do.. it is soo confusing i read my lesson but the question was just so different

directrix · Answer

I'm thinking the same thing about the question being different.

anonymous · Answer

yea.. im not very good with some math parts

directrix · Answer

Cross sections formed by the parallel planes referenced by Cavalieri must have the same area.

I'm wondering if we should find the areas of the two gray cross sections.

anonymous · Answer

that is what i was thinking i just was not really sure ..

directrix · Answer

What are the options?

anonymous · Answer

2
4
sqrt 2pi
4 sqrt pi

directrix · Answer

Because if the cross sections have equal areas, then a^2 = 16 pi.

directrix · Answer

I think we have stumbled upon the answer. What is it?

anonymous · Answer

umm.. im not so sure..

directrix · Answer

Solve for a:   a^2 = 16 pi.

anonymous · Answer

4

directrix · Answer

What about the pi?

anonymous · Answer

ohhh umm 4 sqrt pi

directrix · Answer

That is what I got.

anonymous · Answer

thank you! your an awesome helper, also gave u a medal! :)

directrix · Answer

You and welcome, and thanks. I enjoyed that problem because it is different.

anonymous · Answer

thanks :) me to