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Math Help - a right hexagonal prism

  1. #1
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    a right hexagonal prism

    i have a right hexagonal prism
    and i need to find the SA and the volume for it
    what formula do i use?
    a regualr prism formula?
    thanks
    my test is tomorrow in the morning
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by shilo View Post
    i have a right hexagonal prism
    and i need to find the SA and the volume for it
    what formula do i use?
    a regualr prism formula?
    thanks
    my test is tomorrow in the morning
    Please don't bump your post. People will help if they can


    The Volume is the area of the base multiplied by the height

    V=A_{base} \cdot h

    The area of a Regular hexagon(all sides and angles equal) with side length l is A=\frac{3\sqrt{3}}{2}l^2

    The surface area is given by the formula

    S=2A_{base}+6lh

    where l is the side length of the hexagon and h is the height.

    I hope this helps

    Good luck.
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  3. #3
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    Hello, shilo!

    i have a right hexagonal prism,
    and i need to find the SA and the volume for it.
    what formula do i use?
    I assume your exam will not include such a sloppy question . . .
    Code:
             * - *
          *    A    *
          |  * - *  |
          |  |   |  |
          |  |   |  | h
          |  |   |  |
          |  |   |  |
          *  |   |  *
             * - *

    We know nothing about the hexagon.
    We must be given its perimeter P, and its area A.
    . . (or be given enough information so we can find P and A.)

    The height h is perpendicular to the two hexagonal bases.


    The surface area consists of the top and bottom: . 2A
    . . and the lateral area: . Ph

    Therefore, the total surface area is: . \boxed{ SA \:=\:2A + Ph}


    The volume is (area of base) (height): . \boxed{V \:=\:Ah}

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