Answer:
3 feet
Explanation:
GIVEN: A filing cabinet has a height of
and a length of
. The volume of the filing cabinet is
.
TO FIND: What is the width of the filing cabinet.
SOLUTION:
Let the width of filing cabinet be
![x\text{ feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/lhdlye22slkrua4a43xzuq3341o9xv4mj0.png)
length of filing cabinet
![=6\text{ feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/pcb6shbanbpbtxct9lpctwvu36ltm6e0pm.png)
height of filing cabinet
![=2\text{ feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/rlvwycaa6czdnr89lu8j8s6juk0m5qlcn6.png)
Volume of filing cabinet
![=\text{length}*\text{height}*\text{width}=36\text{ feet}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/z7u6if08kik9aa5qwywd7t55djknviwsv9.png)
putting values,
![6*2* x=36](https://img.qammunity.org/2021/formulas/mathematics/high-school/fch9m79puruqyksxkszbi8gudp7jd935u6.png)
![12* x=36](https://img.qammunity.org/2021/formulas/mathematics/high-school/38awv2ku9uorjbeov4itd6hp79wyx210ol.png)
![x=3](https://img.qammunity.org/2021/formulas/mathematics/college/yzekanmiuar9edsve93wg5dpqbw3650n5b.png)
Hence the width of filing cabinet is 3 feet.