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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?

User Feh
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1 Answer

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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

User Mphuie
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