Vertices

Q.

A solid that has only one vertex is-

1. Cylinder

2. None of these

3. Cube

4. Cone

Q.

A cube has ___ vertices.

Q.

Euler’s formula is F + E - V = 2.

1. False

2. True

Q.

Which of the following solids have the maximum number of vertices?

1. Cone

2. Cuboid

3. Sphere

4. Cylinder

Q. a and b are two non-collinear vectors, then xa+yb (where x and y are scalars) represents a vector which is

1. Parallel to b
2. Parallel to a
3. Coplanar with a and b
4. None of these

Q.

A polyhedron with 20 vertices and 30 faces has ___ edges.

1. 50

2. 48

3. 10

4. 46

Q.

State true or false. The number of vertices in a cuboid is 12.

1. False

2. True

Q.

Which of the following does not have a vertex?

1. Cuboid

2. Cube

3. Cone

4. Cylinder

Q.

Which of the given solids has the maximum number of vertices?

1. Cone

2. Cuboid

3. Sphere

4. Cylinder

Q. Write (T) for true and (F) for false:

(i) A cylinder has no vertex.
(ii) A cube has 6 faces, 12 edges and 8 vertics.
(iii) A cone has one vertex.
(iv) A sphere has one edge.
(v) A sphere has a curved surface.

Q.

Question 73
State whether the statement is True or False.
A pyramid has only one vertex.

Q.

Determine the faces, vertices and edges of the following shape.

1. 5 faces, 4 vertices and 8 edges

2. 5 faces, 5 vertices and 10 edges

3. 4 faces, 6 vertices and 8 edges

4. 5 faces, 5 vertices and 8 edges

Q.

A face is formed by joining two vertices.

1. True

2. False

Q.

How many vertices does a cone have?

1. 0

2. 2

3. 1

4. 3

Q.

If a polyhedron has 7 faces and 10 vertices, then it will have ___ number of edges.

Q. Write (T) for true and (F) for false:

(i) A cylinder has no vertex.
(ii) A cube has 6 faces, 12 edges and 8 vertics.
(iii) A cone has one vertex.
(iv) A sphere has one edge.
(v) A sphere has a curved surface.

Q. What will be the number of edges if there are $6$ faces and $12$ vertices?

1. $12$
2. $14$
3. $16$
4. $18$

Q. Complete the following table and verify Eulers formula in each case.

Faces (F)	6	4	9	7
Edges (E)	12	6	16	15
Vertex (V)	8	4	9	10

Q.

Which of the given geometric solids has the maximum number of vertices?

1. Cone

2. Cylinder

3. None of the above

4. Cuboid

Q. can a polyhedron have 8 faces, 18 edges and 15 vertices?give reason.

Q. Which of the given geometric solids has the maximum number of vertices?

1. Cone
2. Cylinder
3. Cuboid
4. Square Pyramid