The perimeter of the base of the pyramid is 66 feet. 18 feet is the length of one side of the base. What is the length of the missing side of the base? What is the volume of the pyramid?
78 feet and 18 feet
The missing side length of the base of the pyramid is _____ feet.
The volume of the pyramid is _____ cubic feet.
The missing side length of the base of the pyramid is 78 feet.
To find the volume of the pyramid, we first need to find the area of the base:
Perimeter of base = 2 * (18 + 78) = 2 * 96 = 192 feet
Since the base is a square, each side length is 192 / 4 = 48 feet
Area of base = 48 * 48 = 2304 square feet
Now, we can find the volume of the pyramid using the formula:
Volume = (1/3) * Area of base * Height
Assuming the height is 12 feet:
Volume = (1/3) * 2304 * 12 = 9216 cubic feet
Therefore, the volume of the pyramid is 9216 cubic feet.