Allied & ICAR Exam Bank • ALLIED_2285 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Two identical solid cubes of side 2 cm overlap such that their centers coincide, with one rotated by 45 degrees about a vertical face-axis relative to the other. What is the maximum number of vertical lateral sides (edges) of the octagonal cross-section formed by their intersection?

Answer Key:

8

Step-by-Step Solution & Explanation

Rotating a square by 45 degrees about its center intersects the original square to form a regular 8-sided octagon. Thus 8 lateral sides.
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