Find the volume of a pyramid with a square base, where the area of the base is 8, point, 3, m, squared8.3 m 2 and the height of the pyramid is 9, point, 8, m9.8 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 8, point, 3, m, squared8.3 m 2 and the height of the pyramid is 9, point, 8, m9.8 m. Round your answer to the nearest tenth of a cubic meter.
Solution
To find the volume of a pyramid with a square base, we use the formula for the volume of a pyramid:
Given:
- The area of the base (Base Area) = 8.3 m²
- The height (Height) = 9.8 m
Now, substitute the given values into the formula:
First, calculate the product of the base area and the height:
Next, divide this product by 3:
Rounding to the nearest tenth:
So, the volume of the pyramid is approximately 27.1 cubic meters.
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