Faces, edges and vertices · फलक, किनारे और शीर्ष

Count the flat faces, the edges and the corners — then check with Euler's formula.

Faces, edges and vertices games

Faces, edges and vertices फलक, किनारे और शीर्ष

A face is a flat surface, an edge is where two faces meet, and a vertex (corner) is where edges meet.

Solid	Faces (F)	Edges (E)	Vertices (V)	F + V − E
🎲 Cube	6	12	8	2
📦 Cuboid	6	12	8	2
🔺 Triangular prism	5	9	6	2
🔺 Square pyramid	5	8	5	2
🔻 Triangular pyramid (tetrahedron)	4	6	4	2
⬠ Pentagonal prism	7	15	10	2
⬡ Hexagonal prism	8	18	12	2
⬠ Pentagonal pyramid	6	10	6	2

Euler's formula: for every polyhedron (a solid with flat polygon faces), F + V − E = 2.

Curved solids: a cylinder has 2 flat faces and 1 curved surface, 2 curved edges, no vertex; a cone has 1 flat face, 1 curved surface, 1 edge and 1 vertex; a sphere has 1 curved surface and no edge or vertex. Euler's formula is for polyhedra only. Also see 3D shapes.

Goes with NCERT Maths Class 5–8 (3D shapes; Visualising solid shapes).

Print

A one-page chart to stick on the wall, and a worksheet to practise.

Faces, edges and vertices