Allied & ICAR Exam Bank • ALLIED_2444 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Consider a 3D wireframe cube of side length 1. What is the maximum number of edges of the cube that can be pierced by a single flat plane passing through the cube without containing any vertex?

Options:

  • (A) 6
  • (B) 4
  • (C) 8
  • (D) 12

Answer Key:

A

Step-by-Step Solution & Explanation

A plane cutting through the interior of a cube can intersect at most 6 of its 12 edges, forming a 6-sided polygonal cross-section.
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