Question

You measure a suitcase to be 13 inches wide, 2 feet long, and 5.5 inches thick.What is the volume of the suitcase? (Hint: Be sure to convert all the dimensions to feet first and thenkeep any fractions in fraction form when plugging them into the formula.)ft3

Answer 1

The suitcase is in the form of a rectangular prism.

The volume of a rectangular prism is given by the formula:

`V=\text{wld}`

Where

V is the volume, w is the width, l is the length, d is the depth

We want the volume in cubic feet, so let's convert all the measurements in feet.

Remember,

1 feet = 12 inches

So,

Width

`13in*(1ft)/(12in)=(13)/(12)ft`

Length

2 feet

Depth

`5.5in*(1ft)/(12in)=(5.5)/(12)ft`

Now, let's find the volume:

`\begin{gathered} V=((13)/(12))(2)((5.5)/(12)) \\ V=(143)/(144)ft^3 \end{gathered}`

Answer:

`\text{Volume}=(143)/(144)ft^3`

In decimal, we divide 143 by 144, to get: 0.9931 cubic feet