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Find the volume of a pyramid with a square base, where the perimeter of the base is 12, point, 8, m12.8 m and the height of the pyramid is 12, point, 5, m12.5 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 perimeter of the base is 12, point, 8, m12.8 m and the height of the pyramid is 12, point, 5, m12.5 m. Round your answer to the nearest tenth of a cubic meter.

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Solution 1

To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.

Step 1: Find the length of one side of the base. Since the base is a square and the perimeter is 12.8 m, each side of the square is 12.8 m / 4 = 3.2 m.

Step 2: Find the area of the base. Since the base is a square, the area is side length squared, which is 3.2 m * 3.2 m = 10.24 m^2.

Step 3: Substitute the base area and the height into the volume formula. V = 1/3 * 10.24 m^2 * 12.5 m = 42.67 m^3.

So, the volume of the pyramid is approximately 42.7 m^3 when rounded to the nearest tenth of a cubic meter.

This problem has been solved

Solution 2

To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.

Step 1: Find the length of one side of the base. Since the base is a square and the perimeter is 12.8 m, each side of the square is 12.8 m / 4 = 3.2 m.

Step 2: Find the area of the base. Since the base is a square, the area is side length squared, which is 3.2 m * 3.2 m = 10.24 m^2.

Step 3: Substitute the base area and the height into the volume formula. V = 1/3 * 10.24 m^2 * 12.5 m = 42.67 m^3.

So, the volume of the pyramid is approximately 42.7 m^3 when rounded to the nearest tenth of a cubic meter.

This problem has been solved

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