Q75 of 102 Page 181

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

according to the data given in question

Vertices = 12, Face = 20 and Edge = ?

By Euler’s formula we know that

Face + Vertices = Edge + 2

⟹ 12 + 20 = edge + 2

⟹ 32 = edge + 2

⟹ Edge = 32-2

⟹ Edge = 30.

A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Find the number of faces in the given shapes:

A solid has forty faces and, sixty edges. Find the number of vertices of the solid.

Draw the net of a regular hexahedron with side 3 cm. (Hint : Regular hexahedron – cube)