Question

If the two prisms have the same height, what is true about their volumes

Other side of the top one says 3 cm

Answer 1

The answer is A. The volumes are the same

Explanation:

First you have to determine the area of the cross sections for each of them.

The area of the rectangular cross section will be:

A= 7(6)

A= 21 cm²

The area of the triangular cross section will be:

A=
`(1)/(2)`(7)(6)

A= 21 cm²

So, they both share the same area which Cavalieri's Principle said that if two solids of equal height have equal cross-sectional area at every level, then the volume are the same.