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15 November, 12:48

The top of a gate post is in the shape of a square pyramid. The height of the pyramid is 5 inches and each side of the base is 7.4 inches. Find the volume of wood needed to make the top of the gate post. Round to the nearest tenth. Explain/show how you found the answer.

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  1. 15 November, 15:13
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    91.3 in³

    Step-by-step explanation:

    The volume of a pyramid can be found using the formula ...

    V = (1/3) Bh

    where B represents the area of the base, and h represents the height.

    Since the base is square, its area will be the square of the side length, so the volume is ...

    V = (1/3) · (7.4 in) ²· (5 in) ≈ 91.3 in³
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