Question

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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Answer 1

Answer:

$V=2\frac{47}{64}ft^{3}$

Step-by-step explanation:

The volume of a rectangular prism is defined as

$V=l \times w \times h$

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

In this case, the dimensions are

$1\frac{1}{4}ft$, $1\frac{3}{4}ft$ and $1\frac{1}{4}ft$.

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

$1\frac{1}{4}ft =\frac{5}{4}ft$

$1\frac{3}{4}ft=\frac{7}{4}ft$

So, using the formula

$V=l \times w \times h=\frac{5}{4}ft \times \frac{7}{4}ft \times \frac{5}{4}ft=\frac{175}{64}ft^{3}\\V=2\frac{47}{64}ft^{3}$

Therefore, the volume of the suitcase is $V=2\frac{47}{64}ft^{3}$

Answer 2

1 1/4=5/4
1 3/4=7/4
v=5/4*5/4*7/4=175/64feet^3