Question

The volume of this rectangular prism is 108 cubic feet.

4.5 feet
3 feet
What is the length of the prism?

Answer 1

8 feet

Explanation:

4.5 times 3 is 13.5 and 108 divided by 13.5 is 8

Answer 2

8 feet.

Explanation:

We have been given that the volume of this rectangular prism is 108 cubic feet. Width are height are 4.5 feet and 3 feet. We are asked to find the length of the prism.

We know that volume of rectangular prism is product of length, height and width of prism.

`V=lwh`

Upon substituting our given values in volume formula, we will get:

`108\text{ ft}^3=l(4.5\text{ ft})(3\text{ ft})`

`108\text{ ft}^3=l(13.5\text{ ft}^2)`

`l(13.5\text{ ft}^2)=108\text{ ft}^3`

`\frac{l(13.5\text{ ft}^2)}{13.5\text{ ft}^2}=\frac{108\text{ ft}^3}{13.5\text{ ft}^2}`

`l=8\text{ ft}`

Therefore, the length d the prism is 8 feet.