Geometry

Question Analysis:
This problem combines volume calculation, percentage use, and unit conversion between mm and cm, then uses algebra to solve for a missing dimension.
The main focus is on understanding how to reverse a volume formula and manage mixed units.

Key Concept Explanation:
Volume of a prism: length × width × height
All units must be the same (convert mm to cm)
Volume given in liters → convert to cm³ (1 liter = 1,000 cm³)
Use percent-filled to find full volume
Solve for unknown height

Step-by-Step Solution:
Convert 320 mm → 32 cm
Let height = x cm
60% of volume = 5.76 L →
Convert to cm³: 5.76 × 1,000 = 5760 cm³
Full volume = 5760 ÷ 0.6 = 9600 cm³
Set up volume equation:
32 × 20 × x = 9600
→ 6...