Answer:
3 feet
Step-by-step explanation:
GIVEN: A filing cabinet has a height of [tex]6\text{ feet}[/tex] and a length of [tex]2\text{ feet}[/tex]. The volume of the filing cabinet is [tex]36\text{ feet}^3[/tex].
TO FIND: What is the width of the filing cabinet.
SOLUTION:
Let the width of filing cabinet be [tex]x\text{ feet}[/tex]
length of filing cabinet [tex]=6\text{ feet}[/tex]
height of filing cabinet [tex]=2\text{ feet}[/tex]
Volume of filing cabinet [tex]=\text{length}\times\text{height}\times\text{width}=36\text{ feet}^3[/tex]
putting values,
[tex]6\times2\times x=36[/tex]
[tex]12\times x=36[/tex]
[tex]x=3[/tex]
Hence the width of filing cabinet is 3 feet.
