Faces, Edges and Vertices

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

1. 15
2. 17
3. 10
4. 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.

1. 8
2. 12
3. 14
4. 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__

1. 3
2. $\frac{1}{2}$
3. 4
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?

1. 19
2. 17
3. 15
4. 3

Q. The given figure has _____ edges.

1. 25
2. 15
3. 21
4. 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?

1. Cube

2. Prism

3. Sphere

4. Pyramid

Q. Find X and Y in the given figure ?

1. 67, 40
2. 40, 67
3. 43, 63
4. 63, 43

Q. How many edges does a sphere have?

1. 2
2. 0
3. 3
4. 1

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

1. cone
2. circle
3. cylinder
4. cube

Q. How many edges are on this shape ?

1. 15
2. 22
3. 25
4. 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

1. Polyhedron

2. Cone

3. Cylinder

4. 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	$12$