Geometry

Question Analysis:
This question asks for a missing dimension of a prism based on a known partial volume and a percentage fill.
The main focus is on reverse calculation from percentage and applying the volume formula.

Key Concept Explanation:
Volume of a rectangular prism = length × width × height
Filled volume = 85% of total → Total volume = filled volume ÷ 0.85
Solve for missing dimension using algebra

Step-by-Step Solution:
Let total volume = V
Given filled volume = 8,160 cm³ = 85% of total
→ V = 8,160 ÷ 0.85 = 9,600 cm³
Use volume formula:
V = x × 24 × 10 = 240x
→ 240x = 9,600
→ x = 9,600 ÷ 240 = 40 cm

Common Mistakes:
Forgetting to divide by 0.85 before ap...