Geometry

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Determine the slant height of a right pyramid whose lateral area is 90 ft^2 and whose base is a regular hexagon with a 3 ft side.

  • Geometry -

    The lateral area of a pyramid can be calculated by the following formula:

    Area, A = pa/2
    p=permimeter of the base polygon
    a=apothem of the pyramid, i.e. the slant height.

    Therefore, the slant height (or the apothem, a) can be calculated as follows:
    a = 2*lateral area/perimeter of base
    = 2A/p

  • Geometry -

    How do I find the perimeter of base
    is it 18

  • Geometry -

    Yes, 18 is correct.

    A hexagon has 6 sides, each of length 3 ft. So
    Perimeter, p = 6*3 ft = 18 ft.

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