Solve the Problem $33 \mathrm { ft } 3$ What Dimensions Yield the Minimum Surface Area? Round to Rectangular

question 144

Multiple Choice

Solve the problem.
-A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of $33 \mathrm { ft } 3$ . What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.

• A) 3.2 ft × 3.2 ft × 3.2 ft
• B) 8.1 ft × 8.1 ft × 0.5 ft
• C) 4 ft × 4 ft × 2 ft
• D) 4.6 ft × 4.6 ft × 1.5 ft

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Definitions:

Puritan Authorities

The leaders and officials within Puritan communities, especially in the 17th century, who enforced strict religious and social codes of conduct.

Massachusetts Bay Colony

A 17th-century British settlement in New England that became one of the early centers of the colony's government, trade, and religion.

Puritan Migrations

This term refers to the movement of English Puritans to North America, particularly to the Massachusetts Bay Colony, in the early 17th century to escape religious persecution.

Connecticut Valley

A major valley in the U.S. known for its fertile land, running through Connecticut and Massachusetts.