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:

Creativity

The ability to generate novel and useful ideas or solutions to problems, often leading to innovative outcomes.

Oxygen

A chemical element with symbol O, essential for the respiration of most living organisms and for combustion processes.

Idea Quotas

Fixed or minimum numbers of creative ideas or innovations that individuals or teams are expected to produce within a certain timeframe.

Creativity

The ability to produce original and unusual ideas, or to make something new or imaginative.