SOLUTION: A box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch Square from each corner and folding up the sides. If the box is hold 48in 3 w

Algebra ->  Linear-equations -> SOLUTION: A box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch Square from each corner and folding up the sides. If the box is hold 48in 3 w      Log On


   

Question 906196: A box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch
Square from each corner and folding up the sides. If the box is hold 48in
3 what size piece of tin should be used?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Making a change to your problem description:
A box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch
Square from each corner and folding up the sides. If the box is hold highlight_green%2848%29 highlight_green%28cubic%29 inches, what size piece of tin should be used?


Let x = length of side of the square piece of tin.

Area of base, %28x-2%2A3%29%28x-2%2A3%29

Volume of the box, 3%28x-6%29%5E2=48

Simplify and solve for x.

Divide members by 3,
%28x-6%29%5E2=16
x%5E2-12x%2B36-16=0
x%5E2-12%2B20=0
%28x-10%29%28x-2%29=0

The sensible answer will be highlight%28x=10%29