Find the volume of a pyramid with a square base, where the side length of the base is 4, point, 9, m4.9 m and the height of the pyramid is 5, point, 3, m5.3 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 4, point, 9, m4.9 m and the height of the pyramid is 5, point, 3, m5.3 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, 4.9m * 4.9m = 24.01 square meters.
Step 2: Multiply the base area by the height. So, 24.01m^2 * 5.3m = 127.253 cubic meters.
Step 3: Multiply the result by 1/3 to get the volume. So, 1/3 * 127.253m^3 = 42.4 cubic meters (rounded to the nearest tenth).
So, the volume of the pyramid is approximately 42.4 cubic meters.
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