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?

Question

asked Sep 26, 2022 32.6k views

1 Answer

Mphuie · Answer 1 · 2022-10-03T04:49:43+0000

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

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