# Faces

## Trending Questions

**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?

- 12
- 13
- 14
- 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?

- 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?

- 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

**Q.**

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

Triangle

Cone

Rectangle

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?

- 28
- 30
- 34
- 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?

Triangular

Square

Pentagon

Hexagonal

**Q.**

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

Face

Triangle

Edge

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.

- 10
- 18
- 16
- 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