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March 25, 2017

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What is the volume of a right hexagonal pyramid with base edge of 1 cm and height of 2cm
Would I use V=BH 6(2)=12cm^3

  • Geometry - ,

    The general formula for a pyramid
    = (1/3) base area x height

    Your base is a hexagon with sides of 1.
    You can split the hexagon into 6 equilateral triangles.
    Find the area of one of those first:
    (use the ratio of the 30-60-90 triangle to find the height to be √3/2)
    Area of one triangle = (1/2)(1)√3/2) = √3/4
    so 6 of them would be 6√3/4 or 3√3/2

    volume of your pyramid
    = (1/3)(1)(3√3/2)
    = 3√3/6

  • Geometry - ,

    Thank you for all the help!

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