A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section? - Reasoning MCQ Competitive Exam 2026 | ExamTest.live | ExamTest.live

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A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section?

A $Rhombus$
B $Rectangle$
C $Parallelogram$
D $Pentagon$

Solution & Step-by-step Explanation

A regular dodecahedron consists of 12 regular pentagonal faces. When it is sliced by a cutting plane that passes through two completely opposite, parallel edges without intersecting any vertices, the resulting internal flat cross-section forms a perfect rectangle.

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A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section?

A

Rhombus

B

Rectangle

C

Parallelogram

D

Pentagon

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3D Geometry Cross Sections

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