alleryFor a convex polyhedron, what does V - E + F always equal?
A0
B1
C2
D3
Answer & Solution
Correct answer: C. 2
1. V, E and F are the numbers of vertices, edges and faces.
2. For any convex polyhedron the Euler characteristic V - E + F equals 2.
3. A cube checks it: 8 - 12 + 6 = 2.
_Source: Wikipedia, Polyhedron, section Topological classification_
Keep practising Polygon
Browse all Polygon questions for CTET, or explore more Mathematics topics.
Related questions
A short, wide cylinder with diameter much greater than height is called what?A plane cuts a right cylinder through two elements. What is the section?Rotating a rectangle about one of its sides sweeps out which solid?The height of a cylinder is measured how?What do the two bases of a cylinder look like?In elementary geometry, a cone is assumed to be of which kind?Which solid tapers smoothly from a flat base to a single point?A right prism with regular n-gon bases approaches which solid as n grows without limit?