NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes. Furthermore, here we’ve provided you with the latest solution for Class 8 Maths Chapter 10 – Visualising Solid Shapes. As a result here you’ll find solutions to all the exercises. This NCERT Class 8 solution will help you to score good marks in your exam.
Students can refer to our solution for NCERT Class 8 Maths Chapter 10 – Visualising Solid Shapes. The Chapter 10 Solution of NCERT will help students prepare for the exams and easily crack the exam. Below we’ve provided you with the exercise-wise latest solution.
NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes Exercise Wise Solution
Exercise 10.1 – Page 157 of NCERT
Exercise 10.2 – Page 163 of NCERT
Exercise 10.3 – Page 166 of NCERT
NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes Exercise 10.1 Solution
Here you’ll find NCERT Chapter 10 – Visualising Solid Shapes Exercise 10.1 Solution.
Exercise 10.1: Solutions of Questions on Page Number: 157
Q1: For each of the given solid, the two views are given. Match for each solid the corresponding top and front views.
Answer: The given solids, matched to their respective side view and top view, are as follows. Object Side view Top view
Q2: For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.
Answer:
(a)
Q3: For each given solid, identify the top view, front view and side view.
(a)
(b)
(c)
(d)
(e)
Answer:
(a)
(i) Top (ii) Front/Side (iii) Side/Front (b)
(i) Side (ii) Front (iii) Top (c)
(i) Top (ii) Side (iii) Front (d)
(i) Side (ii) Front (iii) Top (e)
(i) Front/Side (ii) Top (iii) Side/Front
Q4: Draw the front view, side view and top view of the given objects.
Answer:
(a)
| (a) A military tent | |
Front View |  |
Top View |  |
Side View |  |
(b)
| A table | |
Front View |  |
Top View |  |
Side View | |
(c)
| A nut | |
Front View |  |
Top View |  |
Side View | |
(d)
| A hexagonal block | |
Front View |  |
Top View |  |
Side View |  |
(e)
| A dice | |
Front View |  |
NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes Exercise 10.2 Solution
Here you’ll find NCERT Chapter 10 – Visualising Solid Shapes Exercise 10.2 Solution.
Exercise 10.2: Solutions of Questions on Page Number: 163
Q1: Look at the given map of a city.
Answer the following.
- Colour the map as follows: Blue – water plant, red – fire station, orange – library, yellow – schools, green – park, pink – college, purple – hospital, brown – cemetery.
- Mark a green ‘X’ at the intersection of Road ‘C’ and Nehru Road, Green ‘Y’ at the intersection of Gandhi Road and Road A.
- In red, draw a short street route from library to the bus depot.
- Which is further east, the city park or the market?
- Which is further south, the Primary School or the Sr. Secondary School?
Answer:
- The given map coloured in the required way is as follows.
- The marks can be put at the given points as follows.
- The shortest route from the library to bus depot is represented by red colour.
- Between the Market and the City Park, the City Park is further east.
- Between the Primary School and the Sr. Secondary School, the Sr. Secondary School is further south.
NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes Exercise 10.3 Solution
Here you’ll find NCERT Chapter 10 – Visualising Solid Shapes Exercise 10.3 Solution.
Exercise 10.3: Solutions of Questions on Page Number: 166
Q1: Can a polyhedron have for its faces
(i) 3 triangles? (ii) 4 triangles?
(iii) a square and four triangles?
Answer:
- No, such a polyhedron is not possible. A polyhedron has minimum 4 faces.
- Yes, a triangular pyramid has 4 triangular faces.
- Yes, a square pyramid has a square face and 4 triangular faces.
Q2: Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
Answer:
A polyhedron has a minimum of 4 faces.
Q3: Which are prisms among the following?
(i) 
(iii) 
Answer:
- It is not a polyhedron as it has a curved surface. Therefore, it will not be a prism also.
- It is a prism.
- It is not a prism. It is a pyramid.
- It is a prism.
Q4:
- How are prisms and cylinders alike?
- How are pyramids and cones alike?
Answer:
- A cylinder can be thought of as a circular prism i.e., a prism that has a circle as its base.
- A cone can be thought of as a circular pyramid i.e., a pyramid that has a circle as its base.
Q5: Is a square prism same as a cube? Explain.
Answer:
A square prism has a square as its base. However, its height is not necessarily same as the side of the square. Thus, a square prism can also be a cuboid.
Q6: Verify Euler’s formula for these solids.
Answer:
- Number of faces = F = 7 Number of vertices = V = 10 Number of edges = E = 15
We have, F + V – E = 7 + 10 – 15 = 17 – 15 = 2
Hence, Euler’s formula is verified.
- Number of faces = F = 9 Number of vertices = V = 9 Number of edges = E = 16
F + V – E = 9 + 9 – 16 = 18 – 16 = 2
Hence, Euler’s formula is verified.
Q7: Using Euler’s formula, find the unknown.
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Answer:
By Euler’s formula, we have F + V – E = 2
(i) F + 6 – 12 = 2
F – 6 = 2
F = 8
(ii) 5 + V – 9 = 2 V – 4 = 2
V = 6
(iii) 20 + 12 – E = 2 32 – E = 2
E = 30
Thus, the table can be completed as
| Faces | 8 | 5 | 20 |
| Vertices | 6 | 6 | 12 |
| Edges | 12 | 9 | 30 |
Q8: Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Answer:
Number of faces = F = 10 Number of edges = E = 20 Number of vertices = V = 15
Any polyhedron satisfies Euler’s Formula, according to which, F + V – E = 2 For the given polygon,
F + V – E = 10 + 15 – 20 = 25 – 20 = 5 ≠ 2
Since Euler’s formula is not satisfied, such a polyhedron is not possible.
NCERT Class 8 Maths All Chapters Solution
Chapter 1: Rational Numbers
Chapter 2: Linear Equations in One Variable
Chapter 3: Understanding Quadrilaterals
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square root
Chapter 7: Cubes and Cube Roots
Chapter 8: Comparing Quantities
Chapter 9: Arithmetic Expressions
Chapter 10: Visualising Solid Shapes
Chapter 11: Mensuration
Chapter 12: Exponents and Powers
Chapter 13: Direct and Inverse Proportions
Chapter 14: Factorisation
Chapter 15: Introduction to Graphs
Chapter 16: Playing With Numbers