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anonymous

  • 5 years ago

A box with no top is made by taking a rectangular sheet of metal and cutting away four equal-sized squares (one from each corner of the sheet) and then folding up the resulting aps. The box should be made 4 cm deep and the length of the base should be 15 cm more than the width. If the volume is to be 1000 then what should be the width of the sheet of metal?

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  1. anonymous
    • 5 years ago
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    ok so volume here is 1000. 1000=length*width*height, say width=x then length=x+15. so solve the quadratic equation 4x^2+20x-1000=0

  2. anonymous
    • 5 years ago
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    i got 26?

  3. anonymous
    • 5 years ago
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    well that wont give you the right volume tho

  4. anonymous
    • 5 years ago
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    actually nevermind the quadratic formula , i think you need help its late at night im tired, there answer is 10. 10*25*4 is 1000

  5. anonymous
    • 5 years ago
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    10 is the width length is 15 more so its 25. cheers

  6. anonymous
    • 5 years ago
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    thats not one of the mutiple choices... but thanks for trying

  7. anonymous
    • 5 years ago
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    lol what are your multiple choices

  8. anonymous
    • 5 years ago
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    list them

  9. anonymous
    • 5 years ago
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    Still working on this one?

  10. anonymous
    • 5 years ago
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    yes he wants to know the width still, i said it was 10 but i guess that is wrong

  11. anonymous
    • 5 years ago
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    A) 18 cm B) 20 cm C) 22 cm D) 24 cm E) 26 cm

  12. anonymous
    • 5 years ago
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    oh i forgot about the boxes that were cut out, yes 10 is the width of the inner box but its made from the sheet metal so you have to add the little boxes you cut off which makes it 10+4+4=18, however my reasoning was correct to get 10. i just failed to realize that thats not what the question asked for.

  13. anonymous
    • 5 years ago
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    ok, well thanks...

  14. anonymous
    • 5 years ago
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    do you understand better how to do this problem now tho?

  15. anonymous
    • 5 years ago
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    not at all

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