Find the volume of a pyramid with a square base, where the perimeter of the base is 9.4ft and the height of the pyramid is 6.2ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft^(3)

Question

Find the volume of a pyramid with a square base, where the perimeter of the base is  9.4ft and the height of the pyramid is  6.2ft. Round your answer to the nearest tenth of a cubic foot. Answer:  ft^(3)

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Find Side Length: First, we need to find the length of one side of the square base. Since the perimeter of a square is the sum of all its sides, and a square has four equal sides, we divide the perimeter by 4. Perimeter of the base = 9.4 ft Side of the square base = Perimeter / 4 Side of the square base = 9.4 ft / 4Calculate Side Length: Now, calculate the side length of the square base. Side of the square base = 9.4 ft / 4 Side of the square base = 2.35 ftCalculate Base Area: Next, we calculate the area of the square base by squaring the side length. Area of the base = (Side of the square base)² Area of the base = (2.35 ft)²Calculate Volume Formula: Perform the calculation for the area of the base. Area of the base = (2.35 ft)² Area of the base = 5.5225 ft²Calculate Volume: Now, we use the formula for the volume of a pyramid, which is (1/3) × (base area) × (height). Volume of the pyramid = (1/3) × (base area) × (height) Volume of the pyramid = (1/3) × 5.5225 ft² × 6.2 ftFinal Volume Calculation: Finally, calculate the volume of the pyramid. Volume of the pyramid = (1/3) × 5.5225 ft² × 6.2 ft Volume of the pyramid = 1/3 × 34.2395 ft³ Volume of the pyramid = 11.41317 ft³Round Volume: Round the volume to the nearest tenth of a cubic foot. Volume of the pyramid ≈ 11.4 ft³

Find the volume of a pyramid with a square base, where the perimeter of the base is $9.4 \mathrm{ft}$ and the height of the pyramid is $6.2 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$

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Find the volume of a pyramid with a square base, where the perimeter of the base is 9.4ft 9.4 \mathrm{ft} 9.4ft and the height of the pyramid is 6.2ft 6.2 \mathrm{ft} 6.2ft. Round your answer to the nearest tenth of a cubic foot.\newlineAnswer: ft3 \mathrm{ft}^{3} ft3

Find the volume of a pyramid with a square base, where the perimeter of the base is $9.4 \mathrm{ft}$ and the height of the pyramid is $6.2 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$