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:

Capital Balance

A term used to indicate the amount of funds in a company or an individual's capital account at a specific point in time.

Expanded Accounting Equation

An enhanced version of the basic accounting equation that includes components such as retained earnings, stockholders' equity, and dividends.

Transactions

Financial events that affect the financial statements of a business, consisting of external trades with other entities as well as internal events.

Beginning Balances

The amounts in accounts at the start of a new accounting period, carried over from the end of the previous period.