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:

Extraversion-Introversion

A personality dimension reflecting the extent to which an individual is outgoing and enjoys interacting with others versus being introverted and preferring a more solitary lifestyle.

Monozygotic Twins

Identical twins that result from the division of a single fertilized egg and share exactly the same genetic material.

Dizygotic Twins

Also known as fraternal twins, these are two siblings born from separate eggs and fertilized by different sperm cells, sharing about 50% of their DNA.

Twin-Study Design

A research method that compares the behaviours and traits of monozygotic (identical) and dizygotic (fraternal) twins to understand the influence of genetics versus environment.