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Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 4, cm18.4 cm and the height of the pyramid is 20, point, 6, cm20.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 4, cm18.4 cm and the height of the pyramid is 20, point, 6, cm20.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

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Solution 1

To find the volume of a pyramid, we 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 we know the perimeter, we can divide the perimeter by 4. 18.4 cm / 4 = 4.6 cm.

Step 2: Find the area of the base. Since the base is a square, we can square the length of one side to find the area. 4.6 cm * 4.6 cm = 21.16 cm^2.

Step 3: Substitute the base area and the height into the volume formula and solve. V = 1/3 * 21.16 cm^2 * 20.6 cm = 145.5 cm^3.

So, the volume of the pyramid is approximately 145.5 cubic centimeters.

This problem has been solved

Solution 2

To find the volume of a pyramid, we 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 we know the perimeter, we can divide the perimeter by 4. 18.4 cm / 4 = 4.6 cm.

Step 2: Find the area of the base. Since the base is a square, we can square the length of one side to find the area. 4.6 cm * 4.6 cm = 21.16 cm^2.

Step 3: Substitute the base area and the height into the volume formula and solve. V = 1/3 * 21.16 cm^2 * 20.6 cm = 145.5 cm^3.

So, the volume of the pyramid is approximately 145.5 cubic centimeters.

This problem has been solved

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