Question

The perimeter of the base of the pyramid is
78
78 feet. What is the volume of the pyramid?








60
60 feet

Answer 1

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.