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Math Help - Word problem

  1. #1
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    Word problem

    Please help with this word problem
    A box (rectangular/no top) is to have a volume of 64 cubic meters. The width of the base must be 4 meter to insert into a vault. When trimmed to size, material cost $12.00 per square meter for the base and $6.00 per square meter for the sides. What is the cost for the box?

    Please help!
    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by roseh
    Please help with this word problem
    A box (rectangular/no top) is to have a volume of 64 cubic meters. The width of the base must be 4 meter to insert into a vault. When trimmed to size, material cost $12.00 per square meter for the base and $6.00 per square meter for the sides. What is the cost for the box?

    Please help!
    Thanks
    The width of the box is 4m, let the height be hm and the depth be dm.

    Then to make the volume 64 m^3 we have:

    <br />
4\times h \times d=64<br />

    The area of the base is 4\times d so the cost of the base is:

    <br />
6 \times 4 \times d<br />

    The area of the sides id (2 \times 4+2\times d)\times h, so the cost of the sides is:

    <br />
12 \times (2 \times 4+2\times d)\times h =96+24\times d \times h<br />

    but 4\times h \times d=64 , so the cost of the sides is:

    <br />
96+24\times d \times h=96+6 \times (4 \times d \times h)=\$ 480<br />
.

    Hence the total cost is:

    <br />
480+24 \times d<br />
dollars

    and you don't know enough to simplify further.

    RonL
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