Find the volume of a pyramid with a square base, where the perimeter of the base is 9ft and the height of the pyramid is 6.4ft. 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  9ft and the height of the pyramid is  6.4ft. 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 ft Side of the square base = Perimeter / 4 Side of the square base = 9 ft / 4Calculate Side Length: Now, calculate the side length of the square base. Side of the square base = 2.25 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 = (2.25 ft)²Calculate Area: Perform the calculation for the area of the base. Area of the base = 2.25 ft * 2.25 ft = 5.0625 ft²Use Volume Formula: Now, we use the formula for the volume of a pyramid, which is (1/3) * base area * height. Volume of the pyramid = (1/3) * Area of the base * Height of the pyramid Volume of the pyramid = (1/3) * 5.0625 ft² * 6.4 ftCalculate Volume: Finally, calculate the volume of the pyramid. Volume of the pyramid = (1/3) * 5.0625 ft² * 6.4 ft = 1/3 * 32.4 ft³ Volume of the pyramid = 10.8 ft³Round Answer: Round the answer to the nearest tenth of a cubic foot. Volume of the pyramid ≈ 10.8 ft³ (since 10.8 is already at one decimal place, no further rounding is needed)

Find the volume of a pyramid with a square base, where the perimeter of the base is $9 \mathrm{ft}$ and the height of the pyramid is $6.4 \mathrm{ft}$ . 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 9ft 9 \mathrm{ft} 9ft and the height of the pyramid is 6.4ft 6.4 \mathrm{ft} 6.4ft. 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 $9 \mathrm{ft}$ and the height of the pyramid is $6.4 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$