Allied & ICAR Exam Bank • ALLIED_2275 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

For a 5x5x5 solid cube painted on all outer faces and cut into unit cubes, how many unit cubes have exactly 2 faces painted?

Answer Key:

36

Step-by-Step Solution & Explanation

Cubes with 2 painted faces lie along the 12 edges, excluding corners: 12 * (n - 2) = 12 * (5 - 2) = 12 * 3 = 36 cubes.
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