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25 June, 23:43

A regular hexagonal pyramid has a base area of 29 in2 and a lateral area of 210 in2. What is the surface area of the hexagonal pyramid?

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  1. 26 June, 03:39
    0
    A=239in²

    AL Lateral surface area

    in²

    AB Base area

    in²

    h

    a

    h

    a

    a

    A

    b

    A

    f

    Unit Conversion:

    AL=210in²

    AB=29in²

    Using the formulas

    A=33

    2a2+3ah2+3a2

    4

    AB=33

    2a2

    AL=3ah2+3a2

    4

    Solving forA

    A=AL2+AB=2102+29=239in²
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