Question Bank • QB_GA_095 NAT • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

For the same $6\text{ cm}$ solid painted cube cut into $1\text{ cm}$ unit cubes, calculate the number of unit cubes that have NO face painted at all.

Answer Key:

64

Step-by-Step Solution & Explanation

Cubes with no face painted form an inner core cube of dimension $(n - 2) = (6 - 2) = 4$: $N_0 = (n - 2)^3 = 4^3 = 64$
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