ICSE Class 8 Maths Selina Solutions Chapter 21 Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)
In this article we have provided ICSE Class 8 Maths Selina Solutions Chapter 21 prepared by our experts to help students to prepare better for their examinations.
Ananya Gupta8 Jul, 2024
Share
ICSE Class 8 Maths Selina Solutions Chapter 21: ICSE Class 8 Maths Selina Solutions for Chapter 21, "Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)," help students learn about measuring these 3D shapes.
The solutions provide easy-to-understand steps and examples, making it simple for students to solve these problems. Practicing with these solutions helps students improve their math skills and prepares them for exams and everyday situations involving these shapes.ICSE Class 8 Maths Selina Solutions Chapter 21 Overview
ICSE Class 8 Maths Selina Solutions for Chapter 21, "Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)," are prepared by subject experts from Physics Wallah. These solutions provide a clear and concise overview of how to calculate the surface area and volume of cuboids, cubes, and cylinders. By breaking down complex problems into easy-to-understand steps, the experts ensure that students can grasp these important mathematical concepts with ease. These solutions are designed to help students enhance their problem-solving skills and excel in their studies.Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)
Surface Area, Volume, and Capacity refer to measurements related to three-dimensional shapes such as cuboids, cubes, and cylinders.
Surface Area:
- Cuboid: The surface area of a cuboid is the total area of all its six rectangular faces.
- Cube: A cube has all sides equal.
- Cylinder: The surface area of a cylinder includes the areas of its two circular bases and the rectangular wrap around it (lateral surface area).
Capacity:
- Capacity refers to the volume of the shape, especially when considering how much liquid it can hold. For a cuboid, cube, and cylinder, capacity is equivalent to their respective volumes.
ICSE Class 8 Maths Selina Solutions Chapter 21 PDF
The PDF link for ICSE Class 8 Maths Selina Solutions Chapter 21, "Surface Area, Volume, and Capacity (Cuboid, Cube, and Cylinder)," is available below. By accessing the PDF, students can enhance their understanding of how to calculate surface area and volume for various 3D shapes, improving their problem-solving skills and preparing effectively for exams.ICSE Class 8 Maths Selina Solutions Chapter 21 PDF
ICSE Class 8 Maths Selina Solutions Chapter 21 Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)
Below we have provided ICSE Class 8 Maths Selina Solutions Chapter 21 Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder) for the ease of the students –ICSE Class 8 Maths Selina Solutions Chapter 21 Exercise
Question 1.
Find the volume and the total surface area of a cuboid, whose: (i) Length = 15cm, breadth = 10cm and height = 8cm.Solution:-
We know that
(ii) l = 3.5m, b = 2.6m and h = 90cm,
Solution:-
Question 2.
(ii) The volume of a cuboid is 7.68 m
3
. If its length = 3.2m and height =1.0m; find its breadth.
Solution:-
Volume of a cuboid =7.68 m 3 Length of a cuboid =3.2 m Height of a cuboid =1.0 m Here Length x Breadth x Height = Volume of a cuboid Substituting the values 3.2 × Breadth × 1.0=7.68 By further calculation
(iii) The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m
3
; find its length.
Solution:-
Volume of a rectangular solid =1.92 m 3 Breadth of a rectangular solid = 1.20 m Height of a rectangular solid =80 cm=0.8 m Here Length × Breadth × Height = Volume of a rectangular solid (cubical) Substituting the values Length × 1.20 × 0.8 = 1.92 By further calculation Length × 0.96 = 1.92
Question 3 .
The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 240cm 3 , find its dimensions. (Dimensions means: its length, breadth and height). Also find the total surface area of the cuboid.Solution:-
Consider length of the given cuboid =5x Breadth of the given cuboid =3x Height of the given cuboid =2x We know that Volume of the given cuboid = Length × Breadth ×height Substituting the values =5x×3x×2x=30x 3 It is given that Volume =240cm 3 Substituting the values 30x 3 =240cm 3 By further calculation
Here
Length of the given cube =5x=5×2=10cm
Breadth of the given cube =3x=3×2=6cm
Height of the given cube =2x=2×2=4cm
We know that
Total surface area of the given cuboid =2(1×b+b×h+h×1)
Substituting the values
=2(10×6+6×4+4×10)=2(60+24+40)=2×124=248cm
2
Question 4.
The length, breadth and height of a cuboid are in the ratio 6:5:3. If its total surface area is 504 c m 2 ; find its dimensions. Also, find the volume of the cuboid.Solution:-
Consider length of the cuboid =6x Breadth of the cuboid =5x Height of the cuboid =3x We know that Total surface area of the given cuboid =2(1×b+b×h+h×l) Substituting the values
x=2 cm
Here
Length of the cuboid =6x=6×2=12cm
Breadth of the cuboid =5x=5×2=10cm
Height of the cuboid =3x=3×2=6cm
We get
Volume of the cuboid =l×b×h=12×10×6=720cm
3
Question 5.
Find the volume and total surface area of a cube whose edge is: (i) 8 cmSolution:-
Edge of the given cube =8cm We know that
(ii) 2m 40 cm.
Solution:-
(ii)Edge of the given cube =2 m 40 cm=2.40 m We know that
Question 6.
Find the length of each edge of a cube, if its volume is:
Question 7.
The total surface area of a cube is 216 cm 2 . Find its volume.Solution:-
Question 8.
A solid cuboid of metal has dimensions 24 cm, 18 cm and 4 cm. Find its volume.Solution:-
It is given that Length of the cuboid =24 cm Breadth of the cuboid =18 cm Height of the cuboid =4 cm We know that
Question 9.
A wall 9 m long, 6 m high and 20 cm thick, is to be constructed using bricks of dimensions 30 cm, 15 cm and 10 cm. How many bricks will be required?Solution:
It is given that Length of the wall =9m=9×100cm=900cm Height of the wall =6m=6×100cm=600cm Breadth of the wall =20 cm We know that
Question 10.
A solid cube of edge 14 cm is melted down and recasted into smaller and equal cubes each of edge 2 cm; find the number of smaller cubes obtained.Solution:-
We know that Edge of the big solid cube = 14 cm
Question 11.
A closed box is cuboid in shape with length =40cm, breadth =30cm and height =50cm. It is made of thin metal sheet. Find the cost of metal sheet required to make 20 such boxes, if 1 m 2 of metal sheet costs Rs. 45.Solution:-
It is given that Length of closed box (1) =40cm Breadth (b) =30cm And height (h) =50cm We know that Total surface area =2(l×b+b×h+h×l) Substituting the values
Question 12.
Four cubes, each of edge 9 cm, are joined as shown below: Write the dimensions of the resulting cuboid obtained. Also, find the total surface area and the volume of the resulting cuboid.Solution:-
Edge of each cube =9cm (i) We know that Length of the cuboid formed by 4 cubes (1) =9×4=36cm Breadth (b) =9cm and height (h) = 9cm (ii) Total surface area of the cuboid = 2(lb + bh + hl) Substituting the values
Question 13.
How many persons can be accommodated in a big-hall of dimensions 40 m, 25m and 15m; assuming that each person requires 5m 3 of air?Solution:-
Question 14.
The dimension of a class-room are; length = 15m, breadth =12m and height =7.5m. Find, how many children can be accommodated in this class-room; assuming 3.6 m 3 of air is needed for each child.Solution:-
It is given that Length of the room =15m Breadth of the room =12m Height of the room =7.5m We know that
Question 15.
The length, breadth and height of a room are 6m, 5.4m and 4 m respectively. Find the area of: (i) Its four-walls (ii) Its roof.Solution:-
It is given that Length of the room = 6m Breadth of the room = 5.4m Height of the room = 4m
Benefits of ICSE Class 8 Maths Selina Solutions Chapter 21
- Clear Explanations: These solutions provide detailed and easy-to-understand explanations, helping students grasp complex concepts related to surface area, volume, and capacity.
- Step-by-Step Solutions: Each problem is solved step-by-step, allowing students to follow the logical progression of solving mathematical problems.
- Improved Problem-Solving Skills: By practicing these solutions students can enhance their problem-solving abilities and become more confident in handling similar problems in exams.
- Exam Preparation: The solutions are aligned with the ICSE curriculum, making them a valuable resource for exam preparation. They help students understand the types of questions that may appear in exams and how to approach them.
- Comprehensive Coverage: The solutions cover all aspects of the chapter, ensuring that students get a thorough understanding of calculating surface area and volume for cuboids, cubes, and cylinders.
- Practical Applications: Understanding these concepts helps students apply mathematical principles to real-life situations, such as measuring spaces and volumes in everyday contexts.
ICSE Class 8 Maths Selina Solutions Chapter 21 FAQs
What is the difference between surface area and volume?
Surface area is the total area covered by the surface of a 3D shape, while volume is the amount of space inside the shape.
How do you find the volume of a cuboid?
The volume of a cuboid is found using the formula l×w×h, where 𝑙 l is the length, 𝑤 is the width, and h is the height.
What is capacity, and how is it related to volume?
Capacity refers to the amount of liquid a container can hold, which is essentially the volume of the container. It is usually measured in liters or milliliters.
Why is it important to understand surface area and volume?
Understanding surface area and volume is important for solving real-world problems related to space, storage, construction, and manufacturing. It helps in efficient utilization of materials and space.
Talk to a counsellorHave doubts? Our support team will be happy to assist you!
Join 15 Million students on the app today!
Live & recorded classes available at easeDashboard for progress trackingMillions of practice questions at your fingertips
Free Learning Resources
PW Books
Notes (Class 10-12)
PW Study Materials
Notes (Class 6-9)
Ncert Solutions
Govt Exams
Class 6th to 12th Online Courses
Govt Job Exams Courses
UPSC Coaching
Defence Exam Coaching
Gate Exam Coaching
Other Exams
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others
Copyright © 2025 Physicswallah Limited All rights reserved.
