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Math Help - Width and Height of Solid

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    Width and Height of Solid

    The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.
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    Moo
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    Hello,
    Quote Originally Posted by magentarita View Post
    The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.
    Let l, w, h be respectively the length, the width and the height of the solid.

    We know that the volume of such a shape is defined as being : V=h*l*w
    We know that w=2h ("the width is 2 more than the height)

    So 105=7*2h*h=14h^2

    Hence h^2=\frac{105}{14}=\frac{15}{2}

    this is the height. Multiply by 2 to get the width
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    ok....

    Quote Originally Posted by Moo View Post
    Hello,

    Let l, w, h be respectively the length, the width and the height of the solid.

    We know that the volume of such a shape is defined as being : V=h*l*w
    We know that w=2h ("the width is 2 more than the height)

    So 105=7*2h*h=14h^2

    Hence h^2=\frac{105}{14}=\frac{15}{2}

    this is the height. Multiply by 2 to get the width
    A very nice reply.
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