Vertices

Q.

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

1. 10

2. 12

3. 11

4. 13

Q.

How many vertices does a decagon have?

Q. Complete the table by using Euler’s formula.

Q. Can a polyhedron have 20 faces, 12 vertices and 30 edges?

Q.

A polyhedron with 8 edges and 5 faces has ___ vertices.

Q.

The points of intersection of the edges of a polyhedron is called its _________.

1. Faces

2. Vertices

3. Base

4. Edges

Q.

Using Euler’s formula, find the unknown.

Faces	?	5	20
Vertices	6	?	12
Edges	12	9	?

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

1. 12

Q. Can a polyhedron have 7 faces, 10 vertices and 15 edges?

Q. A hexagonal pyramid has a base and the sides are made of six .

1. hexagonal
2. square
3. triangles
4. rectangles

Q.

In a polyhedron, ______ are the intersection of more than two edges.

1. Sides

2. Faces

3. Vertices

4. Edges

Q. Question 70 (vi)

Using Euler's formula. Find the value of unknown.

Faces 8
vertices 11
Edges r

Q. How many vertices does a cuboid have?

1. 12
2. 4
3. 8
4. 6

Q. In a triangular pyramid, all the faces are triangles.

1. True
2. False

Q. Question 70 (ii)

Using Euler's formula. Find the value of unknown.

Faces y
vertices 12
Edges 18

Q. 1]a polyhedron has 5 more edges than vertices.how many faces does it have ?
2]how many faces does a polyhedron have that has same no. faces as vertices and 2 more edged than vertices?

Q. Question 62

Complete the table given below:

Q.

Fill the missing numbers in the table:

$\begin{array}{cccc}Faces& ?& 9& 20\\ Vertices& 8& ?& ?\\ Edges& 12& 16& 30\end{array}$ [4 MARKS]

Q.

A face is formed by joining two vertices.

1. True

2. False

Q.

Which of the following is a 'Euler’s formula'?

1. $E-F+V=2$
2. $F-E+V=2$
3. $E+F+2=V$
4. $E+F+2=V$

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

1. 12

Q. Question 70 (i)

Using Euler's formula. Find the value of unknown.

Faces 7
vertices 10
Edges x

Q. Question 70 (iii)

Using Euler's formula. Find the value of unknown.

Faces 9
vertices z
Edges 16

Q.

A hexagonal pyramid has ___ vertices.

1. 7

2. 5

3. 8

4. 6

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

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

Q. Question 70 (v)

Using Euler's formula. Find the value of unknown.

Faces 6
vertices q
Edges 12

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

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

Q.

Euler’s formula is F + E - V = 2.

1. False

2. True

Q. Stacking up pentagons one above the other creates a pentagonal pyramid.

1. True
2. False

Q. How many vertices does a cuboid have?

1. 12
2. 6
3. 8
4. 4