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eroshea

  • 2 years ago

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?

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  1. hartnn
    • 2 years ago
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    drawing a figure will help, could u draw a figure of this ?

  2. eroshea
    • 2 years ago
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    |dw:1353637103770:dw|

  3. hartnn
    • 2 years ago
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    |dw:1353579949506:dw|

  4. hartnn
    • 2 years ago
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    volume = 3(x-6)(y-6) = 756

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

  6. eroshea
    • 2 years ago
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    cAN I DO the substitution method?

  7. eroshea
    • 2 years ago
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    x = 486/y then substitute to the second equation

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

  9. hartnn
    • 2 years ago
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    u get xy term in 2nd equation

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

  11. eroshea
    • 2 years ago
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    18y^2-810y+8748 very big numbers >.<

  12. hartnn
    • 2 years ago
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    y^2-45y+486

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

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

  15. hartnn
    • 2 years ago
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    hint : 18*27 = 486

  16. hartnn
    • 2 years ago
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    y^2-45y+486 =0 (y-18)(y-27)=0

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

  18. eroshea
    • 2 years ago
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    you're a very big help to me my friend. thanks a lot :)

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