Polyhedrons

Q.

Question 14
The solid with one circular face, one curved surface and one vertex is known as

a) Cone

b) Sphere

c) Cylinder

d) Prism

Q.

A solid has $40$ faces $60$ edges how many vertices does it have.

Q.

According to Euler’s formula for any solid, the number of Faces (F) and vertices (V) added together is exactly two more than the number of edges (E).

Q.

How many edges are there in a cuboid?

1. 10

2. 12

3. 14

4. 8

Q.

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

1. 6 faces, 8 vertices and 10 edges

2. 6 faces, 8 vertices and 12 edges

3. 8 faces, 8 vertices and 12 edges

4. 6 faces, 9 vertices and 12 edges

Q.

Verify Eulers formulae $V+F-E=2$ in case of : Cube

Q.

A solid has $10$ faces and $15$edges. How many vertices does it have?

Q.

The number of faces of a sphere is ______.

1. 1

2. 3

3. 0

4. 2

Q.

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

Q.

Write the number of faces, edges, vertices of the below figure?

Q.

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

1. 5

2. 3

3. 12

4. 7

Q.

How many faces does a solid with 6 vertices and 15 edges have?

1. 16

2. 11

3. 19

4. 18

Q. How many edges does a cuboid have?

1. 24
2. 12
3. 6
4. 4

Q.

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star

Which of the above are polyhedrons?

1. i, ii, iii

2. iii, iv, v

3. i, ii

4. iv, v

Q.

A polyhedron has $6$ vertices and $8$ faces. How many edges does it have?

Q.

Question 37
Fill in the blank to make statement true.
A solid with no vertex is ___.

Q. Question 67 (ii)

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

Q. From a cubic brick a small piece broke and resulted in the below shown shape. How many edges does the shape have?

1. 12
2. 15
3. 16
4. 8

Q.

How many edges a cuboid has?

Q. How many edges does a cuboid have?

1. 24
2. 12
3. 6
4. 4

Q.

In a solid if $F=V=5$, then the number of edges in this shape is

1. $6$

2. $4$

3. $8$

4. $2$

Q.

Using Euler's formula, find the unknown. [4 MARKS]

$\begin{array}{cccc}Faces& ?& 5& 20\\ Vertices& 6& ?& 12\\ Edges& 12& 9& ?\end{array}$

Q. Which of the following has the highest number of edges?

1. Cube
2. Sphere
3. Cone
4. Cylinder

Q.

Number of vertices in a cuboid are

1. 12

2. 6

3. 4

4. 8

Q.

A three-dimensional solid shape has 14 faces and 10 vertices. The number of edges it will have is ___.

Q. Question 67 (v)

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

Q. Which of the following is a polyhedron? Justify your answer.

(a) Cylinder (b) Cone (c) Square Pyramid (d) Sphere (e) Cube

Q.

A three-dimensional solid shape has 4 faces and 7 vertices. The number of edges it will have is ___.

Q.

Choose the correct alternative to the following question:

Eulers Rule is

1. $\mathrm{F}+\mathrm{V}-\mathrm{E}=2$

2. $\mathrm{F}-\mathrm{V}+\mathrm{E}=2$

3. $\mathrm{V}+\mathrm{E}-\mathrm{F}=2$

4. $\mathrm{F}+\mathrm{V}+\mathrm{E}=2$

Q. Solids with curved faces are called .

1. polyhedrons
2. prisms
3. non-polyhedrons