Results 1 to 3 of 3

Math Help - [SOLVED] Express the surface area as a function

  1. #1
    Junior Member moonman's Avatar
    Joined
    Jan 2009
    From
    Earth, the best place in the solar system.
    Posts
    66

    [SOLVED] Express the surface area as a function

    A rectangular box has a square base and a volume of 80 cubic inches. If the side of the base has length x and the height of the box is h, express the surface area of the box as a function of x.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Aug 2008
    Posts
    530
    Quote Originally Posted by moonman View Post
    A rectangular box has a square base and a volume of 80 cubic inches. If the side of the base has length x and the height of the box is h, express the surface area of the box as a function of x.
    Since the box has a square base, so, length = x and width = x, height = h.

     <br />
volume = x.x.h = 80<br />

     <br />
x^2h = 80<br />

     <br />
h = \frac{80}{x^2}<br />

    Now,

    surface \;\;area = 2(x.x + x.h + x.h)

    = 2(x^2 + 2xh)

     = 2x^2+4xh

     = 2x^2+4x\left(\frac{80}{x^2}\right)

     = 2x^2+\frac{320}{x}

    Did you get it now ???
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member moonman's Avatar
    Joined
    Jan 2009
    From
    Earth, the best place in the solar system.
    Posts
    66
    Quote Originally Posted by Shyam View Post
    Did you get it now ???
    You couldn't have made it easier
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. express the area A as a function of the width X
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 27th 2011, 10:52 PM
  2. Express the area as a function
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: August 27th 2010, 09:07 PM
  3. Express Area as a function of x
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 6th 2010, 05:54 PM
  4. [SOLVED] Another surface area
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 10th 2009, 08:32 PM
  5. Express area as a function of x.
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 6th 2008, 09:43 PM

Search Tags


/mathhelpforum @mathhelpforum