An Open Rectangular Box Having a Volume of Is

question 61

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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Definitions:

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