Find the volume of a pyramid with a square base, where the side length of the base is 6, point, 6, m6.6 m and the height of the pyramid is 10, point, 2, m10.2 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 side length of the base is 6, point, 6, m6.6 m and the height of the pyramid is 10, point, 2, m10.2 m. Round your answer to the nearest tenth of a cubic meter.
Solution
To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.
Step 1: Calculate the base area. Since the base is a square, you can find the area by squaring the side length. So, the base area is 6.6 m * 6.6 m = 43.56 square meters.
Step 2: Multiply the base area by the height. So, 43.56 m^2 * 10.2 m = 444.912 cubic meters.
Step 3: Multiply the result by 1/3 to get the volume of the pyramid. So, 1/3 * 444.912 m^3 = 148.3 cubic meters.
So, the volume of the pyramid is approximately 148.3 cubic meters, rounded to the nearest tenth.
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