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10 November, 09:24

Find the volume of a pyramid with a square base, where the area of the base is 19.6 ft^2 and the height of the pyramid is 11.6 ft. Round your answer to the nearest tenth of a cubic foot.

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  1. 10 November, 09:52
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    volume ≈ 75.8 ft³ (nearest tenth of a cubic foot)

    Explanation:

    A square base pyramid has the base of the pyramid as a square. The lateral faces are triangular. The volume of a square base pyramid is the product of the base area and the height of the pyramid divided by 3. Mathematically, it is expressed below

    The volume of a square base pyramid = 1/3Bh

    where

    B = base area

    h = height of pyramid

    B = 19. 6 ft²

    h = 11. 6 ft

    volume = 1/3 * B * h

    volume = 1/3 * 19.6 * 11.6

    volume = 227.36/3

    volume = 75.7866666667

    volume ≈ 75.8 ft³ (nearest tenth of a cubic foot)
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