A right rectangular prism is packed with identical cubes The

A right rectangular prism is packed with identical cubes. The dimensions of the prism are given in terms of the number of cubes needed to fill the prism. The side length of each cube is 1/4 inch. What is the volume, in cubic inches, of the right rectangular prism?

Solution

Total number of cubes are 16*9*23=3312

Given Side length of each cube=1/4 inch

Volume of each cube is a^3=(1/4)^3=1/64 cubic inches

Total volume of right rectangular prism is total volume of all cubes=1/64*3312=51.75 cubic inches

Therefore Volume of right rectangular prism=51.75 cubic inches