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Math Help - area and volume

  1. #1
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    area and volume

    can anyone help me solve this problem, please?
    A piece of cardboard measures 40 cm by 40 cm. An open-topped box is to be constructed by removing a square with side length of 8 cm from each corner and folding up the edges.Find the surface area of the box. Find the volume of the box.
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  2. #2
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    Re: area and volume

    The open topped box will have dimensions of length = 40- 2(8) = 24 cm, width = 40- 2(8) = 24 cm & height 8 cm

    Now what are the formulas for surface area (as it is open topped, do you need to do indside and out?) and volume?
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    Re: area and volume

    Thank you very much pickslides for the reply. yes, i need to find out the surface area and volume of the box? can you help me please?[/SIZE]
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    Re: area and volume

    Surface area of a closed box is 2(LW+LH+WH) but yours is an open box so subtract the top i.e. LW from the result.

    If you are counting both the inside and outside multiply this result by 2.

    Volume of a box is L\times W\times H
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    Re: area and volume

    Quote Originally Posted by pickslides View Post
    Surface area of a closed box is 2(LW+LH+WH) but yours is an open box so subtract the top i.e. LW from the result.

    If you are counting both the inside and outside multiply this result by 2.

    Volume of a box is L\times W\times H
    Hey pickslides you are a GENIOUS!!
    so, "subtract the top i.e. LW from the result" as you have mentioned above. do i have to do this then 2(LW-LH-WH)

    Also, i got the volume - > volume= (l*w*h)=24*24*8=4608

    Thanks again for your reply and your time. can you look at it and reply please.
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  6. #6
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    Re: area and volume

    Do 2(LW+LH+WH) - LW if you are counting the inside, multiply the result by 2 i.e. 2\times [2(LW+LH+WH) - LW]
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  7. #7
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    Re: area and volume

    Quote Originally Posted by pickslides View Post
    Do 2(LW+LH+WH) - LW if you are counting the inside, multiply the result by 2 i.e. 2\times [2(LW+LH+WH) - LW]
    if i am not wrong i got the answer as 1520 by calculating 2*[2(lw+lh+wh)-lw]
    and volume as 4608. Hope i am right..

    thank you so much for your time. i greatly appreciate your help.
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