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1 August, 00:15

The lower base of the frustum shown in the figure is a square 8ft on each side. The upper base is a square 4ft on each side. In the altitude is 6ft, find the slant height

A - 4ft

B - 5.66 ft

C - 6 ft

D - 6.32 ft

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  1. 1 August, 02:41
    0
    The answer is D 6.32

    S = the slant Height

    Then we need to get the apothem of the lower and upper base

    S^2 = (apothem of the lower base - apothem of the upper base) ^2 + (height) ^2

    and they would be like this:

    apothem of the lower base = 8 / 2*tan (90/2) = 4

    apothem of the upper base = 4 / 2*tan (90/2) = 2

    S^2 = (4 - 2) ^2 + (6) ^2

    S^2 = 2^2 + 6^2

    S^2 = 4 + 36

    S^2 = 40

    S = 6.32
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