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Question

Find the volume of a pyramid with a square base, where the area of the base is 7.5\text{ ft}^27.5 ft 2 and the height of the pyramid is 4.6\text{ ft}4.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answer

The volume of the given solid is 17.9 cubic meters. Step-by-step explanation: To find the volume of the given solid, we can use the formula for calculating the volume of a rectangular prism which is V = l × w × h where l is the length, w is the width, and h is the height. From the given dimensions, we have l = 8.5 m, w = 2.1 m, and h = 1 m. Substituting these values into the formula, we get: V = 8.5 m × 2.1 m × 1 m V = 17.85 cubic meters Therefore, the volume of the given solid is 17.9 m^3 (rounded to one decimal place).