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Concise Mathematics Class 8 ICSE Solutions for Chapter 21 - Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)

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ICSE Class 8 Mathematics Chapter 21 Selina Concise Solutions - Free PDF Download

Updated ICSE Class 8 Mathematics Chapter 21 - Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder) Selina Solutions are provided by Vedantu in a step by step method. Selina is the most famous publisher of ICSE textbooks. Studying these solutions by Selina Concise Mathematics Class 8 Solutions which are explained and solved by our subject matter experts will help you in preparing for ICSE exams. Concise Mathematics Class 8 ICSE Solutions can be easily downloaded in the given PDF format. These solutions for Class 8 ICSE will help you to score good marks in ICSE Exams 2024-25.


The updated solutions for Selina textbooks are created in accordance with the latest syllabus. These are provided by Vedantu in a chapter-wise manner to help the students get a thorough knowledge of all the fundamentals.

Class 8 ICSE Solutions for Chapter 21 Concise Mathematics - Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)

Surface Area

The total of all the areas of the shapes that cover the object's surface is the object's surface area. A cube's surface area, for example, is equal to the sum of the areas of the six squares that surround it. If the area of one side is a2, the surface area of six sides is 6a2.


Cube

In the three-dimensional plane, a cube is a three-dimensional box-like figure. The cube has six equal square-shaped faces. At a 90-degree angle, each face touches the other. At the vertices of the cube, three sides meet.


Cylinder

A cylinder is a three-dimensional object that has two parallel circular bases. A curving surface having two circular bases is known as a cylinder.


Cuboid

A three-dimensional shape with length, width, and height is known as a cuboid. Faces are the six sides of a cuboid form. A cuboid's faces are all rectangles, and its corners (called vertices) are all 90-degree angles. A cuboid eventually takes on the shape of a rectangular box.

FAQs on Concise Mathematics Class 8 ICSE Solutions for Chapter 21 - Surface Area, Volume and Capacity (Cuboid, Cube and Cylinder)

1. Following concepts taught in Chapter 21 of Class ICSE Maths, why is the volume of the cube and cylinder different?

The volume of any 3D figure is defined as the area enclosed by the figure's area. Volume, in its literal sense, refers to the total capacity or space inhabited by an object that has all three dimensions of length, height, and width. The structure of formation determines the varied formulas for each 3D shape. For example, the structural difference between a cube and a cylinder necessitates a separate volume formula for each of the geometries in question. To learn more, download the above PDF.

2. Following concepts taught in Chapter 21 of Class ICSE Maths, what is the difference between volume and capacity?

Volume is said to be the amount of three-dimensional space which is enclosed by a closed surface, for example the space occupied or contained by a substance i.e solid, liquid, gas, or plasma. The SI-derived unit, the cubic meter, is frequently used to quantify volume numerically.


The ability of a thing to hold a substance, such as a solid, a liquid, or a gas, is measured by its capacity.


It can be measured in liters, gallons, pounds, and a variety of other units. It is important to learn the difference between volume and capacity so that the student does not get confused.

3. How to find out the volume of a cube by following the concepts taught in Chapter 21 of Class ICSE Maths?

First and foremost, what is a cube? The cube is a three-dimensional shape with the same width, height, and length dimensions on all sides. A cube is a cuboid whose length, breadth, and height are all the same.


We know that the volume of a cuboid is equal to its length, breadth, and height and that the cube is a particular example of a cuboid with equal length, breadth, and height. Assume that length + width + height = a. Hence, the volume of a cube is a x a x a = a3

4. According to the concepts taught in Chapter 21 of Class ICSE Maths, can a cuboid be turned into a cube?

Yes, a simple mathematical approach can assist us in determining the number of cuboids that must be fused to make a cube. Consider the length, width, and height of a cuboid, which are 5cm, 5cm, and 2cm, respectively. The question now is how many of these cuboids are required to make a cube.


Remember that after the fusion, the volume of both the cube and the cuboid will be the same. Assume that n cuboids are needed to build a cube with a side length of p cm.


The volume of a 'n' cuboid is equal to the volume of a cube with a side of p cm. (p)3 = (5X5X2)cm3 X n = (5X5X2)cm3


When you solve the following equation, you'll see that a cube requires 20 cuboids to form.

5. How to prepare for Class 8 Chapter 21 - Surface Area, Volume and Capacity ( Cuboid, Cube, and Cylinder)?

Students should be thorough with the fundamentals of the topic to prepare for Class 8, chapter 21 - surface area, volume, and capacity ( Cuboid, Cube, and Cylinder). It is important for students to know the fundamentals to progress further in the lesson. Students should be well-versed with concepts such as cuboid, cube, cylinder, surface area, volume, and capacity to do well in Class 8, Chapter 21 - surface area, volume, and capacity (Cuboid, Cube, and Cylinder). It will be quite helpful to the students if they solve sample papers related to the lesson. Students can check out the free study materials at the Vedantu website and app.