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Geometry HELP

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Find the volume of a regular hexagonal prism if the measure of one side of the base is 14 and the height is 10.
a.)140√2 cm^3
b.)2940√3 cm^3
c.)140 cm^3
I was thinkin the answer is 140√2 cm^3

  • Geometry HELP -

    V=NAh=6(14x12.1/2)10=5082cubic cm

    V=volume; N=number of sides=number of triangles that forms base of hexagon;
    A=area of each triangle(quanity in parenthesis); h=height of hexagon.
    The 6 triangles formed by drawing a line from the center to each vertex are equalateral. Therefore, the height of each triangle is 14sin60=12.1. I hope this explanation is sufficient.

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