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Math Help - Finding volumes, base area's, width, and height

  1. #1
    Junior Member Melancholy's Avatar
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    Finding volumes, base area's, width, and height

    A) A box has volume 486 in.^3 and height 9 in. Find the area of the base.

    B) A box has base area 3.60m^2, height 0.40m. Find the volume.

    C) A box has a base area 2.40ft^2 and volume 2.88ft^3. Find the height.

    D) A box has the volume 12,960cm^3, height 18 cm, and length 30cm. Find the width.

    It's been way too long to remember! AhHH! Could you please help me? I don't remember how to find the area of the base, volume, height, or width of these kinds of problems.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Melancholy View Post
    A) A box has volume 486 in.^3 and height 9 in. Find the area of the base.
    Since V=l\cdot w\cdot h, and we know what volume is and what the height is, we need to solve for the area of the base l\cdot w. Thus, we see that \frac{V}{h}=l\cdot w. Plug in the known values and there's you're answer

    B) A box has base area 3.60m^2, height 0.40m. Find the volume.
    Since V=l\cdot w\cdot h, and we know what height is and what the base area is, we see that V=l\cdot w\cdot h\implies V=b\cdot h, where the base area b=l\cdot w. Plug in the known values and there's you're answer

    C) A box has a base area 2.40ft^2 and volume 2.88ft^3. Find the height.
    Since V=l\cdot w\cdot h, and we know what volume is and what the base area is, we see that \frac{V}{\l\cdot w}=h\implies h=\frac{V}{b}, where the base area b=l\cdot w. Plug in the known values and there's you're answer


    D) A box has the volume 12,960cm^3, height 18 cm, and length 30cm. Find the width.

    It's been way too long to remember! AhHH! Could you please help me? I don't remember how to find the area of the base, volume, height, or width of these kinds of problems.
    Since V=l\cdot w\cdot h, and we know what the volume, height, and length is, we see that \frac{V}{l\cdot h}=w. Plug in the known values and there's you're answer

    I hope this all makes sense!

    If you need me to clarify something, feel free to ask.

    --Chris
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  3. #3
    Newbie
    Joined
    Oct 2008
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    Just a bit of clarification needed please

    Hi Chris,

    With the equations above what would the symbols be under the divide line,

    I have to find the the width of a rectangle with,

    1000m-3, length 28m, depth 2m.

    this maybe quite simple stuff but i`m pulling my hair out at the mo,

    any help would be great,

    Steve.
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