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?
:
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 = {{{5547/3}}}
(s - 6)^2 = 1849
Find the square root of both sides
s - 6 = {{{sqrt(1849)}}}
s - 6 = 43
s = 43 + 6
s = 49" square piece of cardboard required.
:
:
Check solution
43^2 * 3 = 5547