Question

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a storage container for the prism that has a volume of 35 cubic centimeters. What is the difference between the volume of the prism and the volume of the storage container? Enter your answer in the box as a simplified mixed number or a decimal.

Answer 1

3.75

Explanation:

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Answer 2

`3.75\ cm^(3)` or
`3(3)/(4)\ cm^(3)`

Explanation:

step 1

Find the volume of the rectangular prism

we know that

The volume of a rectangular prism is

`V=LWH`

In this problem we have

`L=2(1)/(2)\ cm=(2*2+1)/(2)=(5)/(2)\ cm`

`W=2(1)/(2)\ cm=(2*2+1)/(2)=(5)/(2)\ cm`

`H=5\ cm`

substitute in the formula

`V=((5)/(2))((5)/(2))(5)=(125)/(4)=31.25\ cm^(3)`

step 2

Find the difference between the volume of the prism and the volume of the storage container

`35\ cm^(3)-31.25\ cm^(3)=3.75\ cm^(3)`

`3.75=3(3)/(4)\ cm^(3)`