Chapter 1, Problem 13PT

To determine

To explain: The volume of a box is expressed as $914.475$ cubic centimeters is not appropriate if the dimensions of the box are $7.5$ centimeters, $8.9$ centimeters, and $13.7$ centimeters.

Answer to Problem 13PT

The volume of the box must contain same number of decimal places as the dimension of the box. Therefore, the volume of the box should be $914.5$ cubic centimeters.

Explanation of Solution

Given information:

The dimensions of the box are $7.5$ centimeters, $8.9$ centimeters, and $13.7$ centimeters.

Formula used:

Volume of a box with length l , width w and height his $V=l\times w\times h$ .

Calculation:

Consider the provided information that dimensions of the box are $7.5$ centimeters, $8.9$ centimeters, and $13.7$ centimeters.

Volume of a box with length l , width w and height his $V=l\times w\times h$ .

Therefore, volume of the box provided in the question is $914.475$ cubic centimeters.

Also, $914.475=7.5\times 8.9\times 13.7$

Observe that the all dimensions have one decimal place. So the volume of the volume should also have one decimal place. Round off the volume of the box provided in the question to the tenths that is least number of decimal places that is used for estimation of volume.

Therefore, the volume of the box is $914.5$ cubic centimeters.