Results 1 to 4 of 4

Math Help - Rectangular Package

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    5

    Rectangular Package

    A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches.

    Here, there is a picture, which is a 3D package, with length of y, and with of x.

    The problem is the following: Give a formula for the volume of the package.


    Thank you very much
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by lightbanders View Post
    A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches.

    Here, there is a picture, <== I can't see an image of the package
    which is a 3D package, with length of y, and with of x.

    The problem is the following: Give a formula for the volume of the package.


    Thank you very much
    1. I've made a sketch of the package (see attachment)

    2. Since there are only given 2 measures I assume that the package should have a square cross-section.

    3. The volume of the package is calculated by:

    V = l \cdot x

    with the constraints

    l + 4x = 120~\implies~l=120-4x

    4. Therefore the volume is a function of the width of the package:

    V(x)=(120-4x) \cdot x = 120x-4x^2~,~0\leq x\leq 30
    Attached Thumbnails Attached Thumbnails Rectangular Package-packagedimens.png  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,080
    Thanks
    66
    Quote Originally Posted by lightbanders View Post
    Here, there is a picture, ...
    We can't see any picture.

    With what you gave us, all I can tell you is that volume calculation
    of a rectangular package also requires height.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by lightbanders View Post
    A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches.

    Here, there is a picture, which is a 3D package, with length of y, and with of x.

    The problem is the following: Give a formula for the volume of the package.


    Thank you very much
    Girth = 2(h+x)

    y+2(h+x)=120 inches

    \Rightarrow\ h=\frac{120-y}{2}-x

    V=yhx=yx\left(\frac{120-y}{2}-x\right) cubic inches
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with a package in R
    Posted in the Math Software Forum
    Replies: 0
    Last Post: April 26th 2011, 07:10 AM
  2. Latex package help (.dtx)
    Posted in the LaTeX Help Forum
    Replies: 3
    Last Post: November 5th 2010, 09:54 AM
  3. R statistical package?
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 24th 2009, 07:28 AM
  4. Cancel package
    Posted in the LaTeX Help Forum
    Replies: 10
    Last Post: March 28th 2008, 07:12 PM

Search Tags


/mathhelpforum @mathhelpforum