Can a polyhedron have 10 faces, 20 edges and 15 vertices?

3

(a)

Verify which of the following are the faces, edges and, vertices of a polyhedron. 
(i) Faces = 10, edges = 20 and vertices = 15
(ii) Faces = 7, edges = 5and vertices = 4
(iii) Faces = 4, edges = 6 and vertices = 4
(iv) Faces= 5, edges = 4 and vertices = 3

3

(a)

A polyhedron has number of vertices equal to \(\frac{3}{2}\) times of number of faces. If polyhedron has 8 edges, then find number of vertices and faces.

3

(a)

Find the number of vertices in a polyhedron which has 30 edges and 12 faces.

3

(a)

Find the number of bases and faces in a Rectangular pyramid

3

(a)

Find the number of bases and faces in a Hexagonal pyramid

3

(a)

How many faces does the following solids have?
Hexahedron

3

(a)

How many faces does the following solids have?
Octagonal pyramid

3

(a)

How many vertices does the following solids have?
Sphere

3

(a)

Find the number of faces in the given shapes.

3

(a)

The distance between City A and City B on a map is given as 8 cm. If the scale represents 1cm = 200 km, then find the actual distance between City A and City B.

3

(a)

A polyhedron has 40 edges and 30 vertices. Find the number of its faces.

3

(a)

Can a polyhedron have V = F = 9 and E = 16. If yes, draw its figure.

3

(a)

How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

3

(a)

What is Euler's formula? Verify the Euler's formula for a pentagonal prism.

3

(a)