anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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hartnn
  • hartnn
drawing a figure will help, could u draw a figure of this ?
anonymous
  • anonymous
|dw:1353637103770:dw|
hartnn
  • hartnn
|dw:1353579949506:dw|

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More answers

hartnn
  • hartnn
volume = 3(x-6)(y-6) = 756
hartnn
  • hartnn
can u solve those 2 equations ? xy=486 3(x-6)(y-6) = 756 ?
anonymous
  • anonymous
cAN I DO the substitution method?
anonymous
  • anonymous
x = 486/y then substitute to the second equation
hartnn
  • hartnn
try it, if u go wrong, i'll help.... instead substitute xy=486 in 2nd equation
hartnn
  • hartnn
u get xy term in 2nd equation
hartnn
  • hartnn
and u'll be able to find x+y from 2nd equation...
anonymous
  • anonymous
18y^2-810y+8748 very big numbers >.<
hartnn
  • hartnn
y^2-45y+486
hartnn
  • hartnn
if 18y^2-810y+8748 is correct... i have not checked that.
hartnn
  • hartnn
y^2-45y+486 =0 is correct can u factor it ?
hartnn
  • hartnn
hint : 18*27 = 486
hartnn
  • hartnn
y^2-45y+486 =0 (y-18)(y-27)=0
hartnn
  • hartnn
find y from here, then u also get 2 values of x then dimensions are x,y
anonymous
  • anonymous
you're a very big help to me my friend. thanks a lot :)

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