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

Understanding the concepts of volume and surface area is an important part of learning mathematics in Class 8. In RD Sharma Class 8 Chapter 21: Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube), students are introduced to real-world applications of measuring 3D shapes. This chapter plays a vital role in helping students grasp how to calculate the space inside an object (volume) and the area covering the outer surface (surface area). Whether it’s a box, a container, or any cube-shaped object, this chapter makes it easy to understand how much it can hold and how much material is needed to cover it.

The RD Sharma Class 8 Maths Chapter 21 is aligned with the CBSE Syllabus Class 8 Maths and complements what is taught in school using NCERT Solutions for Class 8 Maths Chapter 21. These concepts are also essential for building a strong foundation in geometry, especially when students move on to higher classes. With RD Sharma Class 8 Solutions Chapter 21, students can easily practice and master formulas related to volume and surface area. Each solution is explained step-by-step, making it ideal for self-study and revision before exams.

For the academic year 2025-26, these concepts remain an essential part of the CBSE curriculum. Students preparing for exams can rely on RD Sharma Class 8 Maths Solutions to solve exercise problems effectively and improve their problem-solving skills. Additionally, the RD Sharma Chapter 21 Class 8 content helps students prepare for school exams, Olympiads, and other competitive tests by strengthening their mathematical understanding.

By using these structured resources like RD Sharma Class 8 Solutions Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) and NCERT Solutions for Class 8 Maths, students can approach the subject with confidence and clarity. These guides are especially helpful for visualizing 3D shapes, understanding the relationship between dimensions, and applying the right formulas in different scenarios.

This chapter is not only about solving textbook problems—it's about developing logical thinking, spatial understanding, and applying maths in everyday life. Whether you're measuring a gift box or designing a cupboard, the lessons in RD Sharma Class 8 Chapter 21 2025-26 are practical and easy to learn.

RD Sharma Class 8 Maths Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) PDF

If you're looking to understand volumes and surface areas in a simple way, the RD Sharma Class 8 Maths Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) PDF is a great resource. This chapter explains how to calculate the space inside and the outer surface of cuboid and cube-shaped objects using easy formulas. The Class 8 Maths Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) PDF RD Sharma helps students practice with solved examples and exercises.

With step-by-step explanations, the Class 8 Maths Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) Solutions make it easier for students to learn and revise. Whether for school exams or CBSE practice, RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) builds a strong base in geometry. You can easily access the RD Sharma Chapter 21 Class 8 Mensuration II PDF to boost your learning anytime.

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Benefits of Using RD Sharma for Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) Maths Examination

Using RD Sharma Class 8 Maths Chapter 21 is one of the smartest choices students can make while preparing for their exams. The chapter on Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) explains important concepts clearly and helps students master the formulas with ease. The step-by-step solutions make it easier to solve problems quickly and correctly, which is very helpful during exams. The RD Sharma Class 8 Solutions Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) guide students through even the trickiest questions.

RD Sharma Class 8 Mensuration II Problems with Solutions

Question 1: Find the volume of a cuboid whose length = 10 cm, breadth = 5 cm, and height = 4 cm.

Solution: Volume = l × b × h 

= 10 × 5 × 4 = 200 cm³

Question 2: Find the surface area of a cuboid with dimensions 7 cm × 4 cm × 3 cm.

Solution: Surface Area = 2(lb + bh + hl) 

= 2(28 + 12 + 21) 

= 2 × 61 = 122 cm²

Question 3: If the edge of a cube is 6 cm, find its volume.

Solution:

Volume = a³ = 6³ 

= 216 cm³

Question 4: Find the total surface area of a cube with edge 5 cm.

Solution: Surface Area = 6a² = 6 × 25 

= 150 cm²

Question 5: A cuboid has volume 360 cm³. If its length is 10 cm and breadth is 6 cm, find its height.

Solution: 360 = 10 × 6 × h ⇒ h = 360 / 60 

= 6 cm

Question 6: A cube has a surface area of 294 cm². Find the edge of the cube.

Solution: 6a² = 294 ⇒ a² = 49 ⇒ a = √49 

= 7 cm

Question 7: The length, breadth and height of a cuboid are in the ratio 2:3:4 and its volume is 960 cm³. Find its dimensions.

Solution: Let dimensions be 2x, 3x, 4x ⇒ Volume = 24x³ = 960 ⇒ x³ = 40 ⇒ x ≈ 3.42

Length ≈ 6.84 cm, Breadth ≈ 10.26 cm, Height ≈ 13.68 cm

Question 8: If a cube has volume 512 cm³, find its surface area.

Solution: a³ = 512 ⇒ a = 8 cm ⇒ 

Surface Area = 6a² = 6 × 64 = 384 cm²

Question 9: A cuboid tank measures 12 m × 4 m × 3 m. How much water can it hold in litres?

Solution: Volume = 144 m³ ⇒ 144 × 1000

= 1,44,000 litres

Question 10: A cube of side 10 cm is painted on all sides. Find the area painted.

Solution: Area painted = Surface Area

= 6 × 10² = 6 × 100 = 600 cm²

Attributes of RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)

• Clear Explanations: All formulas related to surface area and volume are explained in simple language.
• Real-Life Examples: The textbook includes practical problems to connect maths with real-world situations.
• CBSE Aligned: Follows the CBSE Syllabus Class 8 Maths for the academic year 2025-26.
• Visual Understanding: Diagrams and illustrations help students understand the structure of cuboids and cubes easily.
• Topic-Wise Exercises: Covers every concept separately for better understanding.

Advantages of RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)

• Practice-Rich Learning: With many solved and unsolved problems, students can practice well for tests.
• Concept Clarity: Helps in building strong mathematical foundations.
• Exam Readiness: Great for preparing for Class 8 maths chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) exam questions.
• Supports Self-Learning: Even without a tutor, students can understand and solve the exercises using the RD Sharma Class 8 Maths Chapter 21 PDF or book.

Why Should Students Choose RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)?

• It is one of the most trusted books for Class 8 Maths Chapter 21 Mensuration II.
• The content is simple, well-structured, and focuses on exam needs.
• Ideal for building basic geometry skills that are useful even in higher classes.
• The RD Sharma Chapter 21 Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) material strengthens problem-solving abilities.

When Is the Best Time to Use RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)?

• Before School Exams: Revise all topics and practice different types of questions.
• During Class Lessons: Use the RD Sharma Class 8 Maths Chapter 21 PDF to follow along with classroom teaching.
• For Revision: Great tool for last-minute preparation and mock tests.
• During Holiday Homework: A reliable guide to complete school assignments.

The Impact of RD Sharma Class 8 Solutions Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) in Student’s Preparation

• Boosts Confidence: Students feel more prepared for school and competitive exams.
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By using RD Sharma Class 8 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) book and solutions, students can develop a strong command over this topic. Whether it's preparing for school assessments, solving practice papers, or improving their overall maths skills, RD Sharma remains a dependable choice for Class 8 Maths Chapter 21.