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A suitcase is a rectangular prism whose dimensions are 1 &1/4 feet by 1 & 3/4 feet by 1 & 1/4 feet.Find the volume of the suitcase.

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A suitcase is a rectangular prism whose dimensions are 1 &1/4 feet by 1 & 3/4 feet-example-1
User Rymnel
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2 Answers

4 votes
1 1/4=5/4
1 3/4=7/4
v=5/4*5/4*7/4=175/64feet^3
User George Johnston
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5.8k points
2 votes

Answer:


V=2(47)/(64)ft^(3)

Explanation:

The volume of a rectangular prism is defined as


V=l * w * h

Where
l is length,
w is width and
h is height.

In this case, the dimensions are


1(1)/(4)ft,
1(3)/(4)ft and
1(1)/(4)ft.

First, we need to transform all mixed numbers into fractions.


1(1)/(4)ft =(5)/(4)ft


1(3)/(4)ft=(7)/(4)ft

So, using the formula


V=l * w * h=(5)/(4)ft * (7)/(4)ft * (5)/(4)ft=(175)/(64)ft^(3)\\V=2(47)/(64)ft^(3)

Therefore, the volume of the suitcase is
V=2(47)/(64)ft^(3)

User Stpk
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6.1k points