Results 1 to 4 of 4

Math Help - Surface Area

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    2

    Surface Area

    What is the formula for the surface area of a hexagonal prism?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    May 2008
    Posts
    17
    Assuming a regular hexagon....


    The area of a hexagon can be found by looking at it as two trapezoids
    Surface Area-capture.gif

    The formula for the area of a trapeziod is A=h \frac{a+b}{2}, therefore the formula for the area of a hexagon is obtainable by doubling this area.

    next look at the net of the shape
    Surface Area-capture.bmp
    From this we can get the formula of the prism as 2*A(hexagon) + 6*A(rectangle), but this only works if all sides of the hexagon are equal
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2008
    Posts
    2

    Thank you!

    Thank you!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Reckoner's Avatar
    Joined
    May 2008
    From
    Baltimore, MD (USA)
    Posts
    1,024
    Thanks
    75
    Awards
    1

    Smile

    Quote Originally Posted by Lpenn View Post
    What is the formula for the surface area of a hexagonal prism?
    A regular hexagon of side length a has an area of A = \frac{3\sqrt3}2a^2. This can be derived a few different ways. One way is to observe that a regular hexagon is really just two trapezoids with bases of a and 2a and heights of a\sin60^\circ = a\frac{\sqrt3}2. So, A = 2\frac{(b_0 + b_1)h}2 = (a + 2a)h = 3a^2\left(\frac{\sqrt3}2\right) = \frac{3\sqrt3}2a^2.

    A parallelogram of height h and with a base of length b has area A = bh.

    Now, a hexagonal prism consists of six parallelograms and two hexagonal bases. If the base is regular, then the surface area would be

    S = 3\sqrt3a^2 + 6ah,

    where a is the length of one side of the base and h is the height of the prism. For non-regular bases, you will have to alter the formula.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Surface Area of Surface
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 1st 2010, 09:53 AM
  2. Calculate the surface area of the surface
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 26th 2009, 04:03 AM
  3. Lateral Area and Total Surface Area
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 25th 2009, 04:28 PM
  4. Help finding surface area of a surface
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 3rd 2008, 04:11 PM
  5. Volume, Surface Area, and Lateral Surface Area
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 14th 2008, 11:40 PM

Search Tags


/mathhelpforum @mathhelpforum