Faces, Vertices and Edges

Q. If angle A and angle B are acute angles such that cosA=cosB, then show that angleA=angle B.

Q. A point where two or more line segments meet is called ______.

1. face
2. vertex
3. edge
4. base

Q. How many faces does a match-box have?

1. 6

Q.

A solid founded by 6 rectangular faces is called a ___

1. Cylinder

2. Cube

3. Cuboid

4. Tetrahedron

Q.

A solid which has two identical and parallel top and bottom faces and other rectangular faces is called a ___

1. Cone

2. Tetrahedron

3. Pyramid

4. Right Prism

Q.

For Cylinder, how many faces, edges and vertices does it have

Q.

Two adjacent faces of a cuboid meet in a line segment called a vertex.

1. True

2. False

Q.

Which of the following is a net of a cube?

1. All of the above

2. 

3. 

4. 

Q. Find the number of faces, edges and vertices of the following polyhedrons and verify them by using Euler's formula. [4 MARKS]

(i) Tetrahedron

(ii) Octahedron

Q.

Which of the following represents the other name of a cylinder?

1. A vertical prism

2. A circular prism

3. A triangular prism

4. A circular pyramid

Q.

The total surface area of cuboid is given by __________.

1. 2 (lb x bh x hl)

2. 2 (lb + bh + hl)

3. 2h (l + b)

4. 2 lb (bh + hl)

Q. In the given figure, find out the number of angles formed within the arms OA and OE.

1. 8
2. 11
3. 10
4. 5

Q.

Which of the following is not a net for a cuboid?

1. 

2. 

3. 

4. 

Q.

If F is the number of faces, V is the number of vertices and E is the number of edges of the given solid, then, F + V - E = ___.

Q.

All cuboids are cubes.

1. True

2. False

Q.

If a right angled triangle is rotated about one of its perpendicular sides, then the shape obtained will be a cylinder.

1. True

2. False

Q.

If a polyhedron has 14 faces and 26 vertices, then it has ___ edges.

1. None of these

2. 

3. 

4. 

Q.

A cuboid in which length, breadth and height are equal is called a ___

1. Cone

2. Cylinder

3. Sphere

4. Cube

Q.

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

1. Cone

2. Sphere

3. Cylinder

4. Cuboid

Q.

Which of the following solids is not pyramid

1. Circle

2. Tetrahedron

3. Cone

4. Cylinder

Q. How many numbers of vertices does a cone have?

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

Q. A triangular pyramid has ____ vertices.

1. 6
2. 8
3. 4
4. 2

Q.

The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter?

Q.

With reference to fig. 12.19:

(i) Write the names of all the faces of the solid.

Q.

In the following figure, the vertex of angle is:

1. Point A

2. None

3. Point C

4. Point B

Q. Question 1 (iii)
Can a polygon have for its faces:
(iii) a square and four triangles?

Q.

A cuboid has ____ faces.

1. 6

2. 5

3. 4

4. 8

Q.

How many vertices does a cone have?

1. 0

2. 1

3. 2

4. 3

Q.

The number of edges in a match-box is ___.

1. 12

2. 8

3. 6

4. 4

Q.

In the following figure ∠ POR has vertex _______.

1. R

2. P

3. O

4. Q