length = 6 inches
width = 5 inches
x inches is cut along each corner
new length = 6 - 2x
new width = 5 - 2x
volume = x ( 6 - 2x ) ( 5 - 2x )
V(x) = 4x^3 - 22x^2 + 30x
V'(x) = 12x^2 - 44x + 30
maximum occurs at
x = 44 / 2 ( 12 ) = 1.83
x = 1.8 |
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