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eroshea Group Title

a piece of cardboard has an area of 486 cm^2. a square of side 3cm is cut from each corner and an open box is made by turning up the ends and sides if the volume of the box formed is 756cm^3. what are the dimensions of the cardboard?

  • one year ago
  • one year ago

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  1. hartnn Group Title
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    drawing a figure will help, could u draw a figure of this ?

    • one year ago
  2. eroshea Group Title
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    |dw:1353637103770:dw|

    • one year ago
  3. hartnn Group Title
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    |dw:1353579949506:dw|

    • one year ago
  4. hartnn Group Title
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    volume = 3(x-6)(y-6) = 756

    • one year ago
  5. hartnn Group Title
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    can u solve those 2 equations ? xy=486 3(x-6)(y-6) = 756 ?

    • one year ago
  6. eroshea Group Title
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    cAN I DO the substitution method?

    • one year ago
  7. eroshea Group Title
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    x = 486/y then substitute to the second equation

    • one year ago
  8. hartnn Group Title
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    try it, if u go wrong, i'll help.... instead substitute xy=486 in 2nd equation

    • one year ago
  9. hartnn Group Title
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    u get xy term in 2nd equation

    • one year ago
  10. hartnn Group Title
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    and u'll be able to find x+y from 2nd equation...

    • one year ago
  11. eroshea Group Title
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    18y^2-810y+8748 very big numbers >.<

    • one year ago
  12. hartnn Group Title
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    y^2-45y+486

    • one year ago
  13. hartnn Group Title
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    if 18y^2-810y+8748 is correct... i have not checked that.

    • one year ago
  14. hartnn Group Title
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    y^2-45y+486 =0 is correct can u factor it ?

    • one year ago
  15. hartnn Group Title
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    hint : 18*27 = 486

    • one year ago
  16. hartnn Group Title
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    y^2-45y+486 =0 (y-18)(y-27)=0

    • one year ago
  17. hartnn Group Title
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    find y from here, then u also get 2 values of x then dimensions are x,y

    • one year ago
  18. eroshea Group Title
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    you're a very big help to me my friend. thanks a lot :)

    • one year ago
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