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Find the volume of a pyramid with a square base, where the area of the base is 
19.3ft^(2) and the height of the pyramid is 
25.3ft. Round your answer to the nearest tenth of a cubic foot.
Answer: 
ft^(3)

Find the volume of a pyramid with a square base, where the area of the base is 19.3ft2 19.3 \mathrm{ft}^{2} and the height of the pyramid is 25.3ft 25.3 \mathrm{ft} . Round your answer to the nearest tenth of a cubic foot.\newlineAnswer: ft3 \mathrm{ft}^{3}

Full solution

Q. Find the volume of a pyramid with a square base, where the area of the base is 19.3ft2 19.3 \mathrm{ft}^{2} and the height of the pyramid is 25.3ft 25.3 \mathrm{ft} . Round your answer to the nearest tenth of a cubic foot.\newlineAnswer: ft3 \mathrm{ft}^{3}
  1. Recall Formula: Recall the formula for the volume of a pyramid with a square base.\newlineThe formula for the volume VV of a pyramid with a square base is V=13×base area×heightV = \frac{1}{3} \times \text{base area} \times \text{height}.
  2. Plug in Values: Plug in the given values for the base area and height into the formula.\newlineThe base area AA is 19.319.3 ft2^2, and the height hh is 25.325.3 ft. So, V=(13)×19.3V = (\frac{1}{3}) \times 19.3 ft2^2 ×25.3\times 25.3 ft.
  3. Calculate Volume: Calculate the volume using the given values.\newlineV=13×19.3ft2×25.3ft=6.433333ft2×25.3ft162.722999ft3V = \frac{1}{3} \times 19.3 \, \text{ft}^2 \times 25.3 \, \text{ft} = 6.433333\ldots \, \text{ft}^2 \times 25.3 \, \text{ft} \approx 162.722999\ldots \, \text{ft}^3.
  4. Round Answer: Round the answer to the nearest tenth of a cubic foot.\newlineThe volume of the pyramid, rounded to the nearest tenth, is approximately 162.7162.7 ft3^3.

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