An Open Rectangular Box Having a Volume of Is

question 36

Multiple Choice

An open rectangular box having a volume of is to be constructed from a tin sheet.Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x by y by z.Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz.Show that Minimize f(x, y)

• A)x = 1; y = 1; z = 2
• B)x = 2; y = 2; z = 1
• C)x = 2; y = 1; z = 1
• D)x = 2; y = 1; z = 2

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