Question 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?
To find the length of the missing side of the base of the pyramid, we first calculate the total perimeter of the base and then subtract the known side length.
Given:
Perimeter of the base = 66 feet
Length of one side = 18 feet
Let x be the length of the missing side.
Perimeter = 2a + 2b, where a and b are the two sides of the base.
Substitute the values into the equation:
66 = 2(18) + 2x
66 = 36 + 2x
2x = 30
x = 15
Therefore, the length of the missing side of the base is 15 feet.
To find the volume of the pyramid, we need to know the height of the pyramid. Let's assume the height is h for this calculation.
The volume of a pyramid is given by the formula:
Volume = (1/3) * base area * height
Given:
Base side length = 18 feet
Height = h
Base area = side length^2 = 18^2 = 324 sq. ft
Volume = (1/3) * 324 * h
We need to know the height of the pyramid to calculate the volume.