Find the volume of a pyramid with a square base, where the area of the base is 6, point, 8, m, squared6.8 m 2 and the height of the pyramid is 8, point, 6, m8.6 m. Round your answer to the nearest tenth of a cubic meter.
Question
Find the volume of a pyramid with a square base, where the area of the base is 6, point, 8, m, squared6.8 m 2 and the height of the pyramid is 8, point, 6, m8.6 m. Round your answer to the nearest tenth of a cubic meter.
Solution
The volume V of a pyramid is given by the formula V = 1/3 * base area * height.
Here, the base area A is 6.8 m² and the height h is 8.6 m.
So, the volume V = 1/3 * 6.8 m² * 8.6 m = 19.44 m³.
Rounding to the nearest tenth of a cubic meter, the volume of the pyramid is approximately 19.4 m³.
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