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24 August, 15:00

A rectangular pyramid has a volume of 1.512 in 3, a height of 12 in., and a base length of 21 in. What is the width of its base?

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  1. 24 August, 18:57
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    18 inches

    Step-by-step explanation:

    Volume of a pyramid is:

    V = ⅓ Ah

    where A is the area of the base, and h is the height of the pyramid.

    The base is a rectangle. Area of a rectangle is width times length, so:

    V = ⅓ wlh

    Plugging in values and solving:

    1512 = ⅓ w (21) (12)

    w = 18

    The width of the base is 18 inches.
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