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

Other side of the top one says 3 cm

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= (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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.