Question

A rectangular prism is 114 inch tall, 112 inch wide, and 2 inches long. How many unit cubes with side length of 14 inch does it take to fill the rectangular prism?

Answer 1

Answer: 9

Explanation:

Given

The dimension of a rectangular prism is

`L=2\ in`

`W=112\ in.`

`h=114\ in.`

Volume of Prism
`V=L* W* h`

`\Rightarrow V=2* 112* 114=25,536\ in.^3`

The volume of the unit cube

`\Rightarrow V_c=14* 14* 14=2744\ in.^3`

Suppose there are n unit cubes to fit in a rectangular prism

`\Rightarrow n=(V)/(V_c)=(25,536)/(2744)=9.306\approx 9`