SOLUTION: Solve the problem. An open box is to be made from a square piece of sheet metal by removing a square of side 3 inches from each corner and turning up the edges. If the volum

Question 264224:
Solve the problem.
An open box is to be made from a square piece of sheet metal by removing a square of side 3 inches from each corner and turning up the edges. If the volume of the box is to be 1728 cubic inches, what is the length of the sides of the square of the sheet metal.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
3(x-2*3)^2=1728
3(x-6)^2=1728
3(x^2-12x+36=1728
3x^2-36x+108-1728=0
3x^2-36x-1620=0
3(x^2-12x-540)=0
3(x-30)(x+18)=0
x-30=0
x=30
30-2*3
30-6-24 is the sides of the square base.
Proof:
3*24^2=1728
3*576=1728
1728=1728
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