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Thread: 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 $\displaystyle V=l\cdot w\cdot h$, and we know what volume is and what the height is, we need to solve for the area of the base $\displaystyle l\cdot w$. Thus, we see that $\displaystyle \frac{V}{h}=l\cdot w$. 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 $\displaystyle V=l\cdot w\cdot h$, and we know what height is and what the base area is, we see that $\displaystyle V=l\cdot w\cdot h\implies V=b\cdot h$, where the base area $\displaystyle b=l\cdot w$. 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 $\displaystyle V=l\cdot w\cdot h$, and we know what volume is and what the base area is, we see that $\displaystyle \frac{V}{\l\cdot w}=h\implies h=\frac{V}{b}$, where the base area $\displaystyle b=l\cdot w$. 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 $\displaystyle V=l\cdot w\cdot h$, and we know what the volume, height, and length is, we see that $\displaystyle \frac{V}{l\cdot h}=w$. 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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