The perimeter of the base of the pyramid is
78
78 feet. What is the volume of the pyramid?
60
60 feet
To find the volume of a pyramid, you can use the formula V = (1/3) * Base Area * Height.
First, we need to calculate the base area using the perimeter of the base. Since the perimeter is 78 feet and the base is a square, each side of the square base would be 78/4 = 19.5 feet.
The area of the square base would be 19.5^2 = 380.25 square feet.
Now, let's assume the height of the pyramid is h. The volume of the pyramid can be calculated as V = (1/3) * 380.25 * h.
Given that the volume is 60 cubic feet, we can set up the equation:
60 = (1/3) * 380.25 * h
Now, we can solve for h:
h = 60 / ((1/3) * 380.25) = 60 / 126.75 = 0.4725 feet.
Therefore, the height of the pyramid is 0.4725 feet.
Finally, we can find the volume of the pyramid:
V = (1/3) * 380.25 * 0.4725 = 60 cubic feet.
So, the volume of the pyramid is 60 cubic feet.