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Find the volume of a pyramid with a square base, where the side length of the base is 4, point, 7, in4.7 in and the height of the pyramid is 4, point, 5, in4.5 in. Round your answer to the nearest tenth of a cubic inch.

Question

Find the volume of a pyramid with a square base, where the side length of the base is 4, point, 7, in4.7 in and the height of the pyramid is 4, point, 5, in4.5 in. Round your answer to the nearest tenth of a cubic inch.

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Solution

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

Step 1: Find the area of the base. Since the base is a square, you can find the area by squaring the side length. So, 4.7 in * 4.7 in = 22.09 square inches.

Step 2: Multiply the base area by the height. So, 22.09 square inches * 4.5 in = 99.405 cubic inches.

Step 3: Divide the result by 3 (since the volume of a pyramid is one third the base area times the height). So, 99.405 cubic inches / 3 = 33.135 cubic inches.

Step 4: Round to the nearest tenth of a cubic inch. So, the volume of the pyramid is approximately 33.1 cubic inches.

This problem has been solved

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