SOLUTION: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 5547 in^3.

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Question 332196: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 5547 in^3. How big a piece of cardboard is needed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A box with a square base and no top is to be made from a square piece of
carboard by cutting 3 in. squares from each corner and folding up the sides.
The box is to hold 5547 in^3. How big a piece of cardboard is needed?
:
Let s = one side of the square piece of cardboard required
then
(s-6) = side of the base of the square box, (height will be 3")
:
Height * area of the base = the volume
3(s-6)^2 = 5547
(s-6)^2 = 5547%2F3
(s - 6)^2 = 1849
Find the square root of both sides
s - 6 = sqrt%281849%29
s - 6 = 43
s = 43 + 6
s = 49" square piece of cardboard required.
:
:
Check solution
43^2 * 3 = 5547