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Find the volume of a pyramid with a square base, where the side length of the base is 18m and the height of the pyramid is 11.5m. 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 side length of the base is 18 m 18 \mathrm{~m} and the height of the pyramid is 11.5 m 11.5 \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 side length of the base is 18 m 18 \mathrm{~m} and the height of the pyramid is 11.5 m 11.5 \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. Calculate Base Area: Calculate the area of the square base. Since the side length of the base is 18 m18\,\text{m}, the area is side length squared.\newlineArea = 18 m×18 m=324 m218\,\text{m} \times 18\,\text{m} = 324\,\text{m}^2.
  3. Use Volume Formula: Use the volume formula with the calculated base area and the given height of the pyramid. \newlineVolume = (13)×324m2×11.5m(\frac{1}{3}) \times 324\text{m}^2 \times 11.5\text{m}.
  4. Perform Multiplication: Perform the multiplication to find the volume.\newlineVolume = (13)×324m2×11.5m=108m2×11.5m(\frac{1}{3}) \times 324\text{m}^2 \times 11.5\text{m} = 108\text{m}^2 \times 11.5\text{m}.
  5. Complete Multiplication: Complete the multiplication to get the volume in cubic meters.\newlineVolume = 108 m2×11.5 m=1242 m3108\,\text{m}^2 \times 11.5\,\text{m} = 1242\,\text{m}^3.
  6. Round Answer: Round the answer to the nearest tenth of a cubic meter.\newlineVolume ≈1242.0 m3\approx 1242.0\,\text{m}^3 (since the volume is already an integer, rounding to the nearest tenth does not change the value).

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