The length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. What is the volume of the pyramid? 720 ft3 360 ft3 240 ft3 120 ft3
Question
The length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. What is the volume of the pyramid? 720 ft3 360 ft3 240 ft3 120 ft3
Solution
The volume V of a pyramid is given by the formula V = 1/3 * base area * height.
Step 1: Calculate the base area. Since the base of the pyramid is a square, the area is side length squared. The side length is given as 6 ft, so the area is 6 ft * 6 ft = 36 square ft.
Step 2: Substitute the base area and the height into the volume formula. The height is given as 20 ft, so the volume is V = 1/3 * 36 square ft * 20 ft = 240 cubic ft.
So, the volume of the pyramid is 240 ft3.
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