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Find the volume of a pyramid with a square base, where the area of the base is 18.9m^(2) and the height of the pyramid is 7.6m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Find the volume of a pyramid with a square base, where the area of the base is 18.9 m2 18.9 \mathrm{~m}^{2} and the height of the pyramid is 7.6 m 7.6 \mathrm{~m} . Round your answer to the nearest tenth of a cubic meter.\newlineAnswer: m3 \mathrm{m}^{3}

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Q. Find the volume of a pyramid with a square base, where the area of the base is 18.9 m2 18.9 \mathrm{~m}^{2} and the height of the pyramid is 7.6 m 7.6 \mathrm{~m} . Round your answer to the nearest tenth of a cubic meter.\newlineAnswer: m3 \mathrm{m}^{3}
  1. Identify Formula: Identify the formula for the volume of a pyramid with a square base. The formula is Volume=13×base area×height\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}.
  2. Plug Values: Given the area of the base is 18.918.9 square meters and the height is 7.67.6 meters, plug these values into the formula.\newlineVolume = (1/3)×18.9 m2×7.6 m(1/3) \times 18.9\,\text{m}^2 \times 7.6\,\text{m}
  3. Calculate Volume: Calculate the volume using the given values.\newlineVolume = (13)×18.9×7.6(\frac{1}{3}) \times 18.9 \times 7.6\newlineVolume = 6.3×7.66.3 \times 7.6\newlineVolume = 47.8847.88 cubic meters
  4. Round Answer: Round the answer to the nearest tenth of a cubic meter.\newlineVolume ≈47.9\approx 47.9 cubic meters

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