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Paraphin [41]
3 years ago
10

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?
Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

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

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