Question

a rectangular prism has base edge lengths of 6" and 8". The base edge lengths of a right rectangular prism are 8" and 6". The base of a right triangular prism is a right triangle with perpendicular sides of 24" and 8" long.The height, h in feetof the triangular prism is half the height of the rectuangular prism. The volume of the triangular prism is?

Answer 1

Explanation:

The heights of neither the rectangular prism nor the triangular prism are given, so we don't know the volume of either.

If h is the height of the rectangular prism, then its volume is

6×8×h = 48

if the height of the triangular prism is h/2, then its volume is

(1/2)×24×8×(h/2) = 48

So we know the volumes are the same -- but we don't know what that volume is.