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RD Sharma Class 8 Maths Solutions Chapter 21 - Mensuration II

Last updated date: 22nd Nov 2023
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MVSAT Dec 2023

RD Sharma Solutions for Class 8 Maths - Mensuration II - Free PDF Download

Free PDF download of RD Sharma Solutions for Class 8 Maths Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) solved by Expert Mathematics Teachers on Vedantu. All Exercise Questions with Solutions in Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) are prepared in a way to help you revise the complete Syllabus and Score More marks.

Register Online for RD Sharma Class 8 Maths tuition on Vedantu to score more marks in the CBSE board examination. Every RD Sharma Solution is provided to make your study simple and interesting on Vedantu. Vedantu is the No.1 Online Tutoring Company in India. You can download a Free PDF of RD Sharma Solutions for Class 8 Maths for all chapters solved by Expert Teachers as per updated CBSE guidelines. All Chapter wise Questions with Solutions to help you to revise the complete Syllabus and Score More marks in your examinations.

Class 8 RD Sharma Textbook Solutions Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)

Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube), several exercise questions with solutions for RD Sharma Class 8 Maths are given to help the students and understand the concepts better. 

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 8 RD Sharma Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube). All the Exercise questions with solutions in Chapter 21 - Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) are given below:

Topics covered in R.D. Sharma Maths Solution for Class 8- Chapter 21- Mensuration II

Since you are a student of class 8 now, you'll study the volumes and surface areas of a cuboid and a cube along with formulae in this chapter. You will also learn the applications of these formulas in everyday life. Let’s see the basic shape details present in this chapter.

  • Solid cuboid- The section of space enclosed by the six faces of a cuboid is known as a solid cuboid, a cuboid, or a cuboidal region. Both the hollow cuboid and the solid cuboid are referred to as cuboids. The context will always make it evident for whom it is used in any use of the word.

  • Solid cube-  The section of the space enclosed by the six sides of the cube is called a solid cube. The word 'cube' is used for both the hollow and solid cubes, just as it is for a cuboid. The context in which the word is used will reveal its meaning in any case.

  • Space regions - In chapter 20 of the class 8 book, we have learned about plane regions. As we have discussed, a plane figure together with its interior is called the region enclosed by it. In this chapter, we shall generalize the concept of plane region to space region. A solid's space region is the area that it occupies.

Consider a rectangular overhead water tank to better grasp what the term "space zone" means. Its space zone is the area of space that it encompasses. Because the tank is shaped like a cuboid, the space it encloses is also known as the cuboidal region. Consider a cylindrical tin box that was designed to hold oil. Clearly, the cylindrical box inside takes up a certain amount of space, which is referred to as its space area. The cylindrical area refers to the part of the space encompassed by the box that is cylindrical.

Similarly, we come across numerous types of space regions in everyday life, such as spherical space regions, conical space regions, and so on. We will only look at cuboidal and cubical space regions in this chapter.

At Vedantu, students can also get Class 8 Maths Revision Notes, Formula, and Important Questions, and also students can refer to the complete Syllabus for Class 8 Maths, Sample Paper, and Previous Year Question Paper to prepare for their exams to score more marks.

FAQs on RD Sharma Class 8 Maths Solutions Chapter 21 - Mensuration II

1. What is the Cuboid's Surface Area?

The entire area of the cuboid's surfaces is its surface area. Because a cuboid is a three-dimensional solid form (whose dimensions are length, breadth, and height), the value of its surface area is determined by those dimensions. The value of a cuboid's surface area varies when any of its dimensions are changed. (unit)2 is the unit for the surface area of a cuboid. Surface area is measured in square meters or square centimeters in metric measurements, and square inches or square feet in USCS units.

2. What is the difference between a cube and a cuboid?

A cube or cuboid is a three-dimensional form with six faces, eight vertices, and twelve edges. Both shapes appear to be almost the same, however, they have different qualities. The main distinction is that a cube has the same length, width, and height on all sides, but a cuboid has varied length, breadth, and height. The area and volume of a cube, and a cuboid, are different. 

3. How to find the total and lateral surface area of the cuboid?

Since you know that the cuboid has both, total surface area and lateral surface area, here is how both of them are found- The total surface area of the cuboid is calculated by summing the areas of each face, whereas the lateral surface area is calculated by subtracting the areas of the base and top faces from the total surface area. S = 2 (lb + bh + lh)

L = 2 (lb + bh + lh) - (2 lb) = 2h(l + b)

"S" stands for total surface area, whereas "L" stands for lateral surface area. The length (l), width (b), and height (h) of a cuboid can be used to indicate the total surface area and lateral surface area.

4. The formulas seem to be confusing with each other, how to deal with that?

It’s normal for students to get confused among so many formulas of volumes and areas of cuboids and cubes but to deal with that you must do some self-work. The suggestion would be to make notes and practice questions regularly. Do not forget to note down the formulas with the help of a flowchart which in turn will help you to classify and distinguish among them. Moreover, keep practicing or seeing every day so that your memory stays strong enough to remember the formulas. Even after then, if you feel like revising, visit Vedantu Mensuration Formulas where you can find all formulas for different shapes.

5. What is the long definition of a cube?

A cube is a three-dimensional solid object having six square faces with equal length on all sides. Six square faces, eight vertices, and twelve edges make up a cube. Because the 3D figure is a square with all sides the same length, the length, width, and height of a cube are all the same. The faces of a cube have a common boundary called the edge. Each face of a cube is connected to four vertices and four edges, whereas the vertex is connected to three edges and three faces, and the edges are connected to two faces and two vertices.