At What Rate Is the Volume of a Cube Increasing $12 \mathrm { in } ^ { 3 } / \mathrm { min }$

question 49

Multiple Choice

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

• A) \(12 \mathrm { in } ^ { 3 } / \mathrm { min }\)
• B) \(18 \mathrm { in } ^ { 3 } / \mathrm { min }\)
• C) \(2 \operatorname { in } ^ { 3 } / \min\)
• D) \(72 \mathrm { in } ^ { 3 } / \mathrm { min }\)
• E) \(4 \operatorname { in } ^ { 3 } / \min\)
• F) \(9 \mathrm { in } ^ { 3 } / \mathrm { min }\)
• G) \(36 \mathrm { in } ^ { 3 } / \mathrm { min }\)
• H) \(24 \operatorname { in } ^ { 3 } / \min\)

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Definitions:

Simple Interest

Interest figured solely on the initial sum, excluding any compounded amounts.

Maturity Value

The amount that will be received at the end of a fixed-term investment, including the principal and any accumulated interest.

Initial Amount

The starting amount of money before any growth or shrinkage due to interest or losses.

Simple Interest Rate

A fixed percentage of the principal amount that is paid or earned over a specific period of time, not compounding.