SOLUTION: Identical squares are cut from each corner of an 8 inch by 11.5 inch rectangular piece of cardboard.The sides are folded up to make a box with no top .If the volume of the resultin

Question 983709: Identical squares are cut from each corner of an 8 inch by 11.5 inch rectangular piece of cardboard.The sides are folded up to make a box with no top .If the volume of the resulting box is 63.75 cubic inches,how long is the edge of each square that is cut off ?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
u, edge of each identical cut-out square
w, width of rectangular cardboard
L, length of cardboard
v, volume of the open-top box

The box is u tall and the base is (w-2u)(L-2u).
The volume is .

Solve for u.

-----Now we need to plug-in the known values for the cubic equation.

Integers are preferred so multiply by 4...
---possibly wrong - did not work-

The roots (if Rational Roots Theorem) we want must be positive but certainly much less than 8. Most sensible to first check for 1 and 3 (both are factors of 255).

I used a graphing tool.
... graph shows roots at u=1.5 and u=1.6.
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