Question

a shipping container is in the form of a right rectangular prism and it can hold 1800 cubic feet of shipped goods when it is full. its length is 30 ft and its height is 7 ft 6 inches. find the width of the container in feet. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Convert height to feet

Since 6 inches = $\frac{6}{12} = 0.5$ ft, height $h = 7 + 0.5 = 7.5$ ft

Step2: Recall prism volume formula

Volume $V = l \times w \times h$, rearrange for width: $w = \frac{V}{l \times h}$

Step3: Substitute values and calculate

$w = \frac{1800}{30 \times 7.5} = \frac{1800}{225}$

Answer:

8.0 ft