Question

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 8 ft 3 in. If the container holds 1426 cubic feet of shipped goods, what percent is empty? Round your answer to the nearest whole number if necessary.

Answer 1

step 1

Find out the volume of the container

`V=L\cdot W\cdot H`

substitute given values

L=30 ft

W=8 ft

H=8ft 3 in

Remember that

1 ft=12 in

Convert inches to feet

3 in=3/12=0.25 ft

H=8 ft 3 in=8ft+0.25 ft=8.25 ft

`\begin{gathered} V=30\cdot8\cdot8.25 \\ V=1,980\text{ ft3} \end{gathered}`

step 2

Find out the percentage empty

1,980 represents 100%

so

Applying proportion

Find out how much percentage represents (1,980-1,426=554 ft3)

100/1,980=x/554

solve for x

x=(100/1,980)*554

x=28%

The answer is 28%