Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 5, ft18.5 ft and the height of the pyramid is 7, point, 6, ft7.6 ft. Round your answer to the nearest tenth of a cubic foot.
To find the volume of a pyramid, we can use the formula:
\[V = \frac{1}{3} \times \text{Base Area} \times \text{Height}\]
First, we need to find the base area.
Since the base of the pyramid is a square and the perimeter is given, we can find the length of each side of the base by dividing the perimeter by 4.
The length of each side is $\frac{18.5}{4} = 4.625$ ft.
The base area is then $4.625^2 = 21.390625$ sq ft.
Now we can calculate the volume using the formula:
\[V = \frac{1}{3} \times 21.390625 \times 7.6\]
\[V = 54.1575\]
Rounding to the nearest tenth, the volume of the pyramid is approximately $\boxed{54.2}$ cubic feet.