Find the volume of a pyramid with a square base, where the perimeter of the base is
18.3
in
18.3 in and the height of the pyramid is
15.7
in
15.7 in. Round your answer to the nearest tenth of a cubic inch.

1. The perimeter of the square base is given to be 18.3 inches. Since the base is a square, it can be divided by 4 to find the length of each side. This gives us 4.575 inches.

2. The formula for the volume of a pyramid is 1/3Bh. We can substitute the square of 4.575, which is 20.930625. That is substituted into the equation, making 1/3(20.930625)h inches. Additionally, the height is given as 15.7 inches, meaning we can substitute 15.7 for h. This gives us the final formula of V=1/3(20.930625)(15.7)

3. Use order of operations to solve the problem. Bh (20.930625)(15.7) is 328.6108125. Dividing this value by 3 gives 109.5369375, which rounds to 109.5 in³, which is the final answer.

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.3 in 18.3 in and the height of the pyramid is 15.7 in 15.7 in. Round your answer to the nearest tenth of a cubic inch.

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Find the volume of a pyramid with a square base, where the perimeter of the base is
18.3
in
18.3 in and the height of the pyramid is
15.7
in
15.7 in. Round your answer to the nearest tenth of a cubic inch.