Pyramid with a square base where the perimeter of the base is 19.1ft and the height of the Pyramid is 15.9ft. Round your answer to the nearest tenth of a cubic foot
First, we need to find the area of the base of the pyramid. Since it has a square base, we can divide the perimeter by 4 to get the length of each side of the square.
19.1ft / 4 = 4.775ft
The area of the square base is then:
A = (4.775ft)^2 = 22.825625ft^2
To find the volume of the pyramid, we can use the formula:
V = (1/3)Ah
where A is the area of the base and h is the height of the pyramid.
Plugging in the values we found, we get:
V = (1/3)(22.825625ft^2)(15.9ft)
V = 121.501718125ft^3
Rounding to the nearest tenth, the volume of the pyramid is:
V ≈ 121.5ft^3