SOLUTION: a box with an open top is to be constructed from a square piece of sheet metal, 1.5 m wide, by cutting out a square from each of the four corners and bending up the sides. Find the
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Question 549706: a box with an open top is to be constructed from a square piece of sheet metal, 1.5 m wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that the box can have.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
square sheet = 1.5 m
x is the equal width cut
the area of base
(1.5-x)*(1.5-x)
=2.25-x^2
height = x
Volume = x*(2.25-x^2)
x<1.25
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