SOLUTION: A rectangular prism has base edge lengths of 6 inches and 8 inches. The base edge lengths of a right rectangular prism are 8 inches and 6 inches. The base of a right triangular pri

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A rectangular prism has base edge lengths of 6 inches and 8 inches. The base edge lengths of a right rectangular prism are 8 inches and 6 inches. The base of a right triangular pri      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1158740: A rectangular prism has base edge lengths of 6 inches and 8 inches. The base edge lengths of a right rectangular prism are 8 inches and 6 inches. The base of a right triangular prism is a right triangle with perpendicular sides of 24 inches and 8 inches long. The height, h, in feet of the triangular prism is half the height of the rectangular prism. Complete the sentence.
The volume of the triangular prism is _____ inches.
which is _________ the volume of the rectangular prism.


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


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

%286%29%288%29%28h%29+=+48h

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

%281%2F2%29%2824%29%288%29%28h%2F2%29+=+48h

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