Answer:
8 feet.
Step-by-step 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.
[tex]V=lwh[/tex]
Upon substituting our given values in volume formula, we will get:
[tex]108\text{ ft}^3=l(4.5\text{ ft})(3\text{ ft})[/tex]
[tex]108\text{ ft}^3=l(13.5\text{ ft}^2)[/tex]
[tex]l(13.5\text{ ft}^2)=108\text{ ft}^3[/tex]
[tex]\frac{l(13.5\text{ ft}^2)}{13.5\text{ ft}^2}=\frac{108\text{ ft}^3}{13.5\text{ ft}^2}[/tex]
[tex]l=8\text{ ft}[/tex]
Therefore, the length d the prism is 8 feet.
