Question

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

Answer 1

Answer:

The answer is A. The volumes are the same

Step-by-step 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= $\frac{1}{2}$(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.