Question

a shipping container is in the form of a right rectangular prism, with dimensions of 35 ft by 8 ft by 8 ft 9 in. if the container holds 1372 cubic feet of shipped goods, what percent is empty? round your answer to the nearest whole number if necessary.

Explanation:

Step1: Convert inches to feet

Since 9 inches = $\frac{9}{12}$ ft = 0.75 ft, so the third dimension is $8 + 0.75 = 8.75$ ft.

Step2: Calculate total container volume

Volume of rectangular prism: $V = l \times w \times h$
$V = 35 \times 8 \times 8.75 = 2450$ cubic feet

Step3: Find empty volume

Empty volume = Total volume - Filled volume
$2450 - 1372 = 1078$ cubic feet

Step4: Calculate empty percentage

Percent empty = $\frac{\text{Empty Volume}}{\text{Total Volume}} \times 100\%$
$\frac{1078}{2450} \times 100\% = 44\%$

Answer:

44%