Question

A filing cabinet has a height of 6 feet and a length of 2 feet. The volume of the filing cabinet is 36 cubic feet. What is the width of the filing cabinet?

Answer 1

3 feet

Explanation:

GIVEN: A filing cabinet has a height of
`6\text{ feet}` and a length of
`2\text{ feet}`. The volume of the filing cabinet is
`36\text{ feet}^3`.

TO FIND: What is the width of the filing cabinet.

SOLUTION:

Let the width of filing cabinet be
`x\text{ feet}`

length of filing cabinet
`=6\text{ feet}`

height of filing cabinet
`=2\text{ feet}`

Volume of filing cabinet
`=\text{length}*\text{height}*\text{width}=36\text{ feet}^3`

putting values,

`6*2* x=36`

`12* x=36`

`x=3`

Hence the width of filing cabinet is 3 feet.