Faces

Q.

Can a polyhedron have for its faces:

(i) Three triangles?

(ii) Four triangles?

(iii) A square and four triangles?

Q.

Is it possible to have a polyhedron with any given number of faces?

Q. How many vertices, edges, and faces does a triangular pyramid have in total?

1. 12
2. 13
3. 14
4. 18

Q. Question 10

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?

(a) M
(b) N
(c) Q
(d) O

Q. Q. Six faces of a cube are painted in a manner that no two adjacent faces have the same colour. The three colours used are red, blue and green. The cube is cut into 36 cubes in a manner that 32 cubes are of smaller same size and 4 cubes are of bigger size. Each bigger cube has no red face. A) How many cubes in all have red face? (1) 8 (2) 16 (3) 20 (4) 32 B) How many cubes have only one face coloured? (1) 0 (2) 16 (3) 8 (4) 20 C) How many cubes have three faces painted? (1) 8 (2) 20 (3) 16 (4) 28 D) How many cubes have only two faces painted? (1) 28 (2) 20 (3) 16 (4) 8

Q.

Can a polyhedron have 8 faces, 26 edges and 16 vertices?

Q. Find the number of edges in a solid having 6 vertices and 3 faces?

1. 7

Q.

Draw a net of a die and the number of correct faces.

Q. How many faces does a solid with 5 vertices and 10 edges have?

1. 7

Q.

Question 63 (iii)

How many faces does the following solid have?

Octagonal pyramid

Q.

Question 34

Fill in the blanks to make the statement true.

A pentagonal prism has ___ faces.

Q.

A three-dimensional figure made up of polygonal regions is called a _____.

1. Triangle

2. Cone

3. Rectangle

4. Polyhedron

Q. Question 4 (ii)
(ii) How are pyramids and cones alike?

Q. Question 86

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

Q. Question 8
Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Q. A polyhedron has $12$ faces and $20$ vertices. How many edges does it have?

1. $28$
2. $30$
3. $34$
4. $36$

Q. Question 67 (v)

Look at the shape given below and state if it is a polyhedron using Euler's formula.

Q.

Verify Euler's formula for each of the following polyhedrons:

Q. Question 66 (v)

How many edges does the following solid have?

Hexagonal Prism

Q. Question 67 (ii)

Look at the shapes given below and state if it is a polyhedron using Euler's formula.

Q.

If a prism is a regular polyhedron, its base must be?

1. Triangular

2. Square

3. Pentagon

4. Hexagonal

Q.

In a polyhedron, ______ is the intersection of two faces.

1. Face

2. Triangle

3. Edge

4. Vertices

Q. SiF4 is tetrahedral or square planar?

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. Question 43

State whether the following statement is True or False.

A polyhedron can have 3 faces.

Q. Question 49

State whether the following statement is True or False.

A polyhedron can have 10 faces, 20 edges and 15 vertices.

Q. Question 67 (xi)

Look at the shape given below and state if it is a polyhedron using Euler's formula.

Q. Question 73

A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Q. A prism with a pentagonal base has ___ edges.

1. 10
2. 18
3. 16
4. 15

Q. Question 8

In a solid if F = V = 5, then the number of edges in this shape is
(a) 6
(b) 4
(c) 8
(d) 2