SOLUTION: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in. squares from each corner and folding up the sides. The box is to hold 5046 in3. H

Question 1121395: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in. squares from each corner and folding up the sides. The box is to hold 5046 in3. How big a piece of cardboard is needed?
Your answer is:
in. by
in.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
x, the unknown side of the square

Can you continue with this on your own?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The height of the box will be 6 inches. If x is the side length of the original piece of cardboard, then the side length of the box will be x-12. So the volume of the box (length times width times height) will be

From here, you could blindly expand that expression to get

And then solve the problem by solving the equation

But you would be making a lot of extra work for yourself....

Instead of doing that, write the equation to be solved without expanding the expression for the volume:

And the solution from there is simple....
RELATED QUESTIONS
A box with a square base and no top is to be made from a square piece of carboard by... (answered by josgarithmetic)
A box with a square base and no top is to be made from a square piece of carboard by... (answered by ikleyn)
A box with a square base and no top is to be made from a square piece of carboard by... (answered by ikleyn)
A box with a square base and no top is to be made from a square piece of carboard by... (answered by ankor@dixie-net.com)
A box with a square base and no top is to be made from a square piece of carboard by... (answered by ikleyn)
Please help me I never been good in solving these type of problems. Please show all work... (answered by josmiceli)
A box with a square base and no top is to be made from a square piece of carboard by... (answered by stanbon)
DIMENSIONS OF A BOX: A box with a square base and no top is to be made from a square... (answered by RAY100,checkley77)
Hey! Can I have some help with this equation? A box with a square base and no top is... (answered by Edwin McCravy)