Results 1 to 4 of 4

Math Help - Compose area formula from image

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    Netherlands
    Posts
    15
    Thanks
    1

    Compose area formula from image

    Hello everyone,

    The prelude to an optimalisation problem with areas is the composition of the area formula. However, I have come across an image from which I just cannot seem to create the formula, however I have got the feeling that it should be incredibly easy. Could someone please take a look?

    Compose area formula from image-naamloos.pngSomeone places n of these boxes upon one another (n does not have to be an integer) to create a block with volume 1000.
    Prove that the area formula is:
    Compose area formula from image-naamloos2.png

    Thanks in advance,
    Tom Koolen
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,583
    Thanks
    1418

    Re: Compose area formula from image

    Area formula for what area? The total observable surface area? Or the surface area that can be seen in your picture?

    And what have you done on this? Have, you, for example, calculated what n must be?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2013
    From
    Netherlands
    Posts
    15
    Thanks
    1

    Re: Compose area formula from image

    The total observable surface area. And I have tried my best on this problem, but there is no work that I can show except for these two equations:
    Area = n(10r^2+60r)
    Volume = n(25r^2) = 1000
    And I honestly have no clue as to what I have to do with two variables in this problem.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    828
    Thanks
    209

    Re: Compose area formula from image

    For the volume when n blocks are placed one above the other.
    Volume V = area of base * height
    = 5r^2 * 5n = 25r^2 n
    For the lateral surface area = perimeter of the base * height
    = 2 ( 5r + r ) * 5n= 60 r^2 n.
    The area of the base and the top = 2 ( 5r *r) = 10r^2
    Now you can proceed to solve the question
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determining an area from an image profile plot
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: February 11th 2013, 06:06 PM
  2. image and pre-image of a function/interval
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 9th 2013, 07:50 AM
  3. Replies: 0
    Last Post: October 8th 2012, 10:57 AM
  4. Dumming down the image gradient formula
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: April 30th 2012, 07:49 PM
  5. Find area (image included)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 15th 2011, 03:31 PM

Search Tags


/mathhelpforum @mathhelpforum