# Faces, Edges and Vertices

## Trending Questions

**Q.**A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have?

- 15
- 17
- 10
- 2

**Q.**

Fill in the blanks: (i) A cube has ............ vertices ..........edges and .........faces. (ii) The point at which three faces of a figure meet is known as its........... (iii) A cuboid is also known as a rectangular....... (iv) A triangular pyramid is called a ...........

**Q.**Write down the number of faces of each of the following figures : (i) Cuboid (ii) Cube (iii) Triangular prism (iv) Square pyramid (v) Tetrahedron

**Q.**Write down the number of edges of each of the following figures : (i) Tetrahedron (ii) Rectangular pyramid (iii) Cube (iv) Triangular prism.

**Q.**Question 66 (vi)

How many edges does the following solid have?

Kaleidoscope

**Q.**Using Euler's formula, find the number of edges in a polyhedron if the number of faces is 20 and the number of vertices is12.

**Q.**A polygon has 12 vertices and 4 faces. Find the number of edges of this polygon.

- 8
- 12
- 14
- 16

**Q.**

Write down the number of vertices of each of the following figures : (i) Cuboid (ii) Square pyramid (iii) Tetrahedron (iv) Triangular prism

**Q.**

State, the number of faces, number of vertices and number of edges of :

(i) a pentagonal pyramid

(ii) a hexagonal prism

**Q.**Write number of edges, faces and vertices of cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular and prism.

**Q.**The ratio of number of edges of a cube to the number of faces of a cube is__

- 3
- 12
- 4
- 2

**Q.**Verify Euler’s formula for a right triangular prism.

**Q.**

How many faces are there in a cube (i) cube (ii) pentagonal prism (iii) tetrahedron (iv) pentagonal pyramid?

**Q.**If a solid shape has 8 faces and 9 vertices, how many edges does it have?

- 19
- 17
- 15
- 3

**Q.**The given figure has _____ edges.

- 25
- 15
- 21
- 22

**Q.**

How many edges are there in a cuboid

**Q.**

Write the Euler’s formula for any polyhedron. [2 MARKS]

**Q.**

How many vertices are there in a (i) cuboid (ii) tetrahedron (iii) pentagonal prism (iv) square pyramid ?

**Q.**How many faces and edges does a triangular prism have?

**Q.**

Out of __________ faces of a rectangular pyramid __________ are triangles and base is __________.

**Q.**

What are cubes and cuboids?

**Q.**

Which of the following doesn't have any vertices or flat faces?

Cube

Prism

Sphere

Pyramid

**Q.**Find X and Y in the given figure ?

- 67, 40
- 40, 67
- 43, 63
- 63, 43

**Q.**How many edges does a sphere have?

- 2
- 0
- 3
- 1

**Q.**A ball can cast a shadow in the shape of a ________ .

- cone
- circle
- cylinder
- cube

**Q.**How many edges are on this shape ?

- 15
- 22
- 25
- 21

**Q.**

**Question 90 (i)**

Use isometric dot paper to draw the figure.

A tetrahedron.

**Q.**

Solid having only line segments as its edges is a

Polyhedron

Cone

Cylinder

Polygon

**Q.**

Draw a diagram of cube and label its vertices as P, Q, R, S, T, U, V and W. Now write the names of its faces and edges.

**Q.**Using Euler’s formula, Find the value of unknown q in the following table.

Faces | 6 |

Vertices | q |

Edges | 12 |