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:

Self-Identity

An individual's conscious recognition of their own character, feelings, motives, and desires.

Cerebral Cortex

The outer layer of the cerebrum, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Cerebrum

The largest part of the brain, responsible for higher brain functions such as thought, action, and sensory processing.

Temporal Lobe

A region of the brain located at the sides, involved in processing sensory input into derived meanings for the appropriate retention of visual memory, language comprehension, and emotion association.