At What Rate Is the Diagonal of a Cube Increasing $\sqrt { 3 } \mathrm { in } / \mathrm { min }$

question 25

Multiple Choice

At what rate is the diagonal of a cube increasing if its edges are 2 inches and are increasing at a rate 3 inches per minute?

• A) \(\sqrt { 3 } \mathrm { in } / \mathrm { min }\)
• B) \(6 \sqrt { 3 } \text { in } / \min\)
• C) \(2 \sqrt { 3 } \mathrm { in } / \mathrm { min }\)
• D) \(72 \text { in } / \mathrm { min }\)
• E) \(3 \sqrt { 3 } \text { in } / \min\)
• F) \(9 \mathrm { in } / \mathrm { min }\)
• G) \(36 \text { in } / \mathrm { min }\)
• H) \(24 \text { in } / \mathrm { min }\)

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Definitions:

Factory Production

The process of manufacturing goods in bulk using machinery and assembly lines, typically within an industrial setting.

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Indentured families or persons who received passage to the New World in exchange for a promise to work off their debt in America.

Indentured German Families

German immigrants who came to America and worked for a fixed number of years in exchange for their passage, often in the 17th and 18th centuries.

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The accumulated obligations incurred from funding the development, maintenance, and expansion of transportation infrastructure.