Visualising Solid Shapes Class 8 Extra Questions with Answers

Visualising Solid Shapes Class 8 Extra Questions Maths Chapter 10 are created from the examination perspective and hence will be a great help for students’ exam preparation. These questions are available in PDF format and students can download them for free from Extra Questions for Class 8 Maths. https://meritbatch.com/visualising-solid-shapes-ncert-extra-questions-for-class-8-maths-chapter-10/

Class 8 Visualising Solid Shapes Extra Questions

Extra Questions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Visualising Solid Shapes Class 8 Extra Questions Very Short Answer Type

Visualising Solid Shapes Class 8 Extra Questions Question 1.
Draw any four 3-dimensional figures.
Solution:

Visualising Solid Shapes Class 8 Worksheets Question 2.
Verify Euler’s formula for a right triangular prism.

Solution:
Number of vertices (V) = 6
Number of faces (F) = 5
and number of edges (E) = 9
Euler’s formula:
V + F – E = 2
⇒ 6 + 5 – 9 = 2
⇒ 2 = 2
Hence, the formula is verified.

Visualising Solid Shapes Class 8 Worksheets Pdf Question 3.
Find the number of vertices of hexagonal prisms.
Solution:
Number of vertices = 2 × Number of sides = 2 × 6 = 12

Visualising Solid Shapes Extra Questions Question 4.
Verify whether a polyhedron can have 10 faces, 20 edges and 15 vertices.
Solution:
We have
Number of faces F = 10
Number of edges E = 20
and number of vertices V = 15
Euler’s formula:
V + F – E = 2
⇒ 15 + 10 – 20 = 2
⇒ 5 ≠ 2
Hence, it is not possible to have a polyhedron satisfying the above data.

Visualizing Solid Shapes Class 8 Extra Questions Question 5.
If F = 18 and V = 10, then find the value of E in Euler’s formula.
Solution:
We know that
V + F – E = 2
⇒ 10 + 18 – E = 2
⇒ 28 – E = 2
⇒ E = 28 – 2 = 26
Hence, the required value of E = 26

Class 8 Maths Ch 10 Extra Questions Question 6.
Draw the front, side and top views of the following 3-D figures.

Solution:

Visualising Solid Shapes Class 8 Important Questions Question 7.
Draw the nets of the following polyhedrons.
(i) Cuboid
(ii) Triangular prism with a base equilateral triangle.
(iii) Square pyramid.
Solution:
(i) The net pattern of cuboid

(ii) The net pattern of a triangular prism

(iii) Net pattern of square pyramid

Ch 10 Maths Class 8 Extra Questions Question 8.
The given net is made up of two equilateral triangles and three rectangles.

(i) Name the solid it represents.
(ii) Find the number of faces, edges and vertices.
Solution:
(i) The given figure represents the net prims of the triangular prism
(ii) Number of faces = 5
Number of edges = 9
Number of vertices = 6

Visualising Solid Shapes Class 8 Extra Questions Short Answer Type

Extra Questions For Class 8 Maths Visualising Solid Shapes Question 9.
Match the following:

Solution:
(a) → (vi)
(b) → (v)
(c) → (ii)
(d) → (i)
(e) → (iii)
(f) → (v)

Ncert Class 8 Maths Chapter 10 Extra Questions Question 10.
Using Euler’s formula, fill in the blanks:

Solution:
(a) F + V – E = 2
⇒ 6 + 8 – E = 2
⇒ 14 – E = 2
⇒ E = 14 – 2 = 12

(b) F + V – E = 2
⇒ F + 10 – 15 = 2
⇒ F – 5 = 2
⇒ F = 2 + 5 = 7

(c) F + V – E = 2
⇒ 4 + V – 6 = 2
⇒ V – 2 = 2
⇒ V = 2 + 2 = 4

(d) F +V – E = 2
⇒ 5 + 6 – E = 2
⇒ 11 – E = 2
⇒ E = 11 – 2 = 9

(e) F + V – E = 2
⇒ 8 + 12 – E = 2
⇒ 20 – E = 2
⇒ E = 20 – 2 = 18

(f) F + V – E = 2
⇒ 7 + 7 – E = 2
⇒ 14 – E = 2
⇒ E = 14 – 2 = 12
Hence (a) → 12, (b) → 7, (c) → 4, (d) → 9, (e) → 18, (f) → 12

Questions On Visualising Solid Shapes Class 8 Question 11.
Name the solids that have:
(i) 4 faces
(ii) 8 triangular faces
(iii) 6 faces
(iv) 1 curved surface
(v) 5 faces and 5 vertices
(vi) 6 rectangular faces and 2 hexagonal faces
Solution:
(i) Tetrahedron
(ii) Regular octahedron
(iii) Cube and cuboid
(iv) Cylinder
(v) Square and a rectangular pyramid
(vi) Hexagonal prism

Extra Questions For Class 8 Maths Chapter 10 Question 12.
Complete the table:

Solution:

Class 8 Maths Visualising Solid Shapes Extra Questions Question 13.
Use isometric dot paper to sketch a rectangular prism with length 4 units, height 2 units and width 3 units. (NCERT Exemplar)
Solution:
Steps:
1. Draw a parallelogram with sides 4 units and 3 units. This is the top of the prism (Fig. 1).

2. Start at one vertex. Draw a line passing through two dots. Repeat for the other three vertices. Draw the hidden edges as a dashed line (Fig. 2).

3. Connect the ends of the lines to complete the prism (Fig. 3).

NCERT Solutions for Class 8 Maths