The perimeter of the base of the pyramid is 78 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

1 answer

The perimeter of the base of the pyramid is the sum of the lengths of all four sides of the base. Since one side is 18 feet and the total perimeter is 78 feet, the sum of the other three sides is 78 - 18 = 60 feet.

If we divide 60 feet by 3 (the number of remaining sides), we get that each of the other three sides has a length of 60 / 3 = 20 feet. Therefore, the missing side of the base is 20 feet long.

To calculate the volume of a pyramid, you can use the formula: V = (1/3) * base area * height

Since the base forms a square, its area is (18 ft) * (18 ft) = 324 sq ft
Let's say the height of the pyramid is h feet, then we need to calculate:
V = (1/3) * 360 * h = 120 * h cubic feet

Therefore, the volume of the pyramid is 120h cubic feet.