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

Step-by-step explanation:

Given

The dimension of a rectangular prism is

$L=2\ in$

$W=112\ in.$

$h=114\ in.$

Volume of Prism $V=L\times W\times h$

$\Rightarrow V=2\times 112\times 114=25,536\ in.^3$

The volume of the unit cube

$\Rightarrow V_c=14\times 14\times 14=2744\ in.^3$

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

$\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9$