MATH

Find the total surface area of a hexagonal prism 6ft tall with a regular base measuring 9ft on each and an apothem of length 7.8ft

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  1. The hexagon is made up 6 equilateral triangles with sides of 9 ft
    Area of one of them = (1/2)(9)(9)sin60°
    = (81/2)(√3/2) = 81√3/4

    area of whole hexagon
    = 6(81√3/4) = 243√3/2

    area of whole hexagonal prism
    = 2(243√3/2) + 6(9)(6)
    = (243√3 + 324) ft^2

    your value for the apothem of 7.8 is not needed.
    Btw, the exact value of the apothem is 9sin60°
    = 9√3/2

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