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CTET 1 Mar 2026 Paper 1, Question 35

Topic: Shapes and space

Q35

If the number of faces and edges of a polyhedron is 5 and 8 respectively, then the number of its vertices is :

  1. (1) 8
  2. (2) 5Correct answer
  3. (3) 10
  4. (4) 15

Solution.

CBSE answer: (2)

Answer: (2) 5

  1. Euler's formula for a polyhedron: F+V−E=2F + V - E = 2.
  2. 5+V−8=2⇒V=55 + V - 8 = 2 \Rightarrow V = 5.
  3. Example: a square pyramid has 5 faces, 8 edges and 5 vertices, which fits the formula exactly.