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Math Help - Find dimensions of box

  1. #1
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    Find dimensions of box

    When the edges of a cuboid-shaped box are increased by 2cm, 4cm and 5cm respectively, it would become a cube.
    The volume would increase by 440cm^3
    Find the dimensions of the original cuboid-shaped box.

    I found that the dimensions are 6cmx4cmx3cm by fluke so can anyone please explain how to solve it?
    TY
    Last edited by womatama; March 29th 2010 at 06:20 PM.
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  2. #2
    Member mathemagister's Avatar
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    Quote Originally Posted by womatama View Post
    When the edges of a cuboid-shaped box are increased by 2cm, 4cm and 5cm respectively, it would become a cube.
    The volume would increase by 400cm^3
    Find the dimensions of the original cuboid-shaped box.

    I found that the dimensions are 6cmx4cmx3cm by fluke so can anyone please explain how to solve it?
    TY
    You get solvable simultaneous equations.

    Just translating the above information into Math:

    V=xyz (the definition of the volume of a cuboid)

    V+400 = (x+2)(y+4)(z+5) (the changes you said)

    x+2=y+4=z+5 (since these would make the sides of a cube, which are always equal)

    Now simply solve.

    Hope that helps

    Mathemagister

    PS If you need help with solving that, feel free to ask.
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