Allied & ICAR Exam Bank • ALLIED_2438MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Spatial Reasoning & 3D Representations
Question Statement:
A solid cube can be sliced by a flat plane to produce various polygonal cross-sections. Which of the following polygons CANNOT be formed by slicing a cube with a single flat plane?
Options:
(A) A regular heptagon (7 sides)
(B) An equilateral triangle
(C) A regular hexagon
(D) A trapezoid
Answer Key:
A
Step-by-Step Solution & Explanation
Because a plane can intersect each of the cube's 6 faces at most once, the cross-section cannot have more than 6 vertices. A heptagon (7 sides) is impossible.