Find the volume of a pyramid with a square base, where the side length of the base is 12, ft12 ft and the height of the pyramid is 7, point, 1, ft7.1 ft. Round your answer to the nearest tenth of a cubic foot.
Question
Find the volume of a pyramid with a square base, where the side length of the base is 12, ft12 ft and the height of the pyramid is 7, point, 1, ft7.1 ft. Round your answer to the nearest tenth of a cubic foot.
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 is a square, its area is side length squared. So, the base area is 12 ft * 12 ft = 144 square feet.
Step 2: Multiply the base area by the height and then divide by 3. So, the volume is 1/3 * 144 sq ft * 7.1 ft = 341.6 cubic feet.
Rounding to the nearest tenth of a cubic foot, the volume of the pyramid is approximately 341.6 cubic feet.
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