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Lynna [10]
3 years ago
5

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto

rage 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.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

3.75\ cm^{3}  or  3\frac{3}{4}\ cm^{3}

Step-by-step 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\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm

W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm

H=5\ cm

substitute in the formula

V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{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\frac{3}{4}\ cm^{3}

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