
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The base dimensions of a rectangular box are \( l = 6 \) inches (length), \( w = 4 \) inches (width), and \( h = 5 \) inches (height). The volume \( V \) of a box is given as \( V = lwh \). Determine the value of \( x \) for which the increase in volume when the length \( l \) is increased by \( x \) inches is equivalent to the increase in volume when the height \( h \) is increased by \( x \) inches.
A) \( x = 0 \) 
B) \( x = \frac{4}{3} \) 
C) \( x = 2 \) 
D) \( x = 5 \)

Present the answer in LaTex format: \boxed{Your answer}
user