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R F
R F asked in Science & MathematicsMathematics · 3 weeks ago

A frustum of height 4 is part of a larger pyramid of height 6. The larger pyramid is composed of the frustum and a smaller pyramid...?

If the volume of the smaller pyramid is 210, what is the volume of the frustum?

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  • stanschim
    Lv 7
    3 weeks ago

    The small pyramid has a height of 2; the large pyramid has a height of 6.

    The volumes are proportional to the cube of their heights.

    small / large = 2^3 / 6^3 = 210 / x 

    1 / 27 = 210 / x

    x = (210)(27) = 5670 cubic units

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