Question

tony is building a pool shed shaped like a rectangular prism. it will be 9 feet high and 7 feet long. how wide should it be if tony wants 378 cubic feet of storage space? select the correct choice below and fill in the answer box within your choice. (type a whole number.) a. since 378 = 63 × w, the width is feet. b. since 378 = 9 × w, the width is feet. c. since 378 = 7 × w, the width is feet.

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular prism is $V = l \times w \times h$, where $l$ = length, $w$ = width, $h$ = height.

Step2: Substitute known values

Substitute $V=378$, $l=7$, $h=9$:
$378 = 7 \times w \times 9$
Simplify $7 \times 9 = 63$, so $378 = 63 \times w$

Step3: Solve for width $w$

$w = \frac{378}{63} = 6$

Answer:

A. Since $378=63 \times w$, the width is 6 feet.