Allied & ICAR Exam Bank • ALLIED_1798 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A solid 4x4x4 cube painted red on all 6 outer faces is cut into 64 unit cubes of 1x1x1. How many of the unit cubes have exactly THREE faces painted red?

Options:

  • (A) 8 (the 8 corner cubes)
  • (B) 24 (edge cubes)
  • (C) 12
  • (D) 16

Answer Key:

A

Step-by-Step Solution & Explanation

Only cubes located at the 8 corners of the large cube have 3 exposed outer faces painted red. Always 8 for any cube of side >= 2.
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