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

Answer:

3 feet

Step-by-step 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 $=\text{length}\times\text{height}\times\text{width}=36\text{ feet}^3$

putting values,

$6\times2\times x=36$

$12\times x=36$

$x=3$

Hence the width of filing cabinet is 3 feet.