The perimeter of the base of the pyramid is 54 feet. What is the volume of the pyramid?
66 feet & 15 feet
The missing side length of the base of the pyramid is ____feet.
The volume of the pyramid is ______ft³.
Given that the perimeter of the base of the pyramid is 54 feet, and the base dimensions are 66 feet and 15 feet, we can calculate the missing side length of the base and the volume of the pyramid as follows:
To find the missing side length of the base, we can use the perimeter formula:
Perimeter = 2a + 2b
54 = 2(66) + 2(15)
54 = 132 + 30
54 = 162
162 - 54 = 108
108/2 = 54
So, the missing side length of the base of the pyramid is 54 feet.
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) * base area * height
First, calculate the base area by multiplying the base dimensions:
Base area = 66 * 15 = 990 ft²
Given that the volume of the pyramid is equal to 54 feet, we can now calculate the volume:
Volume = (1/3) * 990 * 54
Volume = (1/3) * 53460
Volume = 17820 ft³
Therefore, the missing side length of the base of the pyramid is 54 feet, and the volume of the pyramid is 17820 ft³.