Chapter 2.6, Problem 37P

The volume of a box is 1344 cubic inches or in ${}^3$.

a. How many cubic inches are in one cubic foot? Justify your answer.

b. What is the volume of the box in cubic feet? Justify your answer.

To determine

To find: cubic inches in cubic foot and justify.

Answer to Problem 37P

1 cubic foot is equal to 1728 cubic inches,

Explanation of Solution

1 foot equals to 12 inches,

  $\begin{array}{l}1foot=12inches\\ {\left(1foot\right)}^3={\left(12inches\right)}^3\\ 1foo{t}^3=1728inche{s}^3\end{array}$

Therefore,

1 cubic foot is equal to 1728 cubic inches,

To determine

To find: volume of the box in cubic feet.

Answer to Problem 37P

0.78 cubic foot.

Explanation of Solution

Given information: volume of the box is 1344 cubic inches,

Convert it in cubic feet,

1 cubic feet equals to 1728 cubic inches,

Then,

  $1inche{s}^3=\frac{1}{1728}foo{t}^3$

And,

  $\begin{array}{l}1344inche{s}^3=1344\times \frac{1}{1728}foo{t}^3\\ =0.78foo{t}^3\end{array}$

In one cubic inches equal to approx. 0.78 cubic foot.