NCERT solutions for Class 10 Mathematics Chapter Surface Areas and Volumes – complete answers & explanations

Class 10 Mathematics Chapter Surface Areas and Volumes is an important topic that helps students understand how to calculate the area and volume of different three-dimensional shapes. This chapter focuses on concepts like surface area, volume, and their real-life applications such as tanks, containers, and solid objects. It builds strong problem-solving skills and is very useful for exams as well as practical understanding. Students often need clear and reliable NCERT solutions to practice effectively and avoid mistakes. This blog provides step-by-step answers aligned with NCERT expectations to help students learn with confidence. Download the worksheet and practice alongside solutions for better clarity. Book a free trial now to get expert guidance and improve your understanding of this important chapter.

What this NCERT chapter covers?

1. Understanding of surface areas of different solid shapes like cubes, cuboids, cylinders, cones, and spheres  
2. Concepts of curved surface area and total surface area  
3. Calculation of volumes of different three-dimensional figures  
4. Application-based problems involving real-life situations  
5. Conversion between different units of measurement  
6. Relationship between radius, height, and slant height in solids  
7. Problems involving combinations of solids  
8. Importance of formulas and their correct usage  
9. Logical thinking and step-by-step problem-solving approach  
10. Preparation for board exams with practical-based questions  

How to use these NCERT solutions?

1. First, read each question carefully from the worksheet before checking the answer  
2. Try solving the question on your own to test your understanding  
3. Use the provided answers to verify your solution and approach  
4. Focus on matching your final answer with the correct one given  
5. Identify mistakes and understand where you went wrong  
6. Practice similar types of questions for better clarity  
7. Parents and teachers can guide students by checking accuracy and steps  
8. Follow the exact sequence of questions to stay aligned with the worksheet  
9. Revise regularly to strengthen formulas and concepts  

Important tips & tricks for students

1. Always remember and revise important formulas regularly  
2. Pay attention to units and convert them properly when needed  
3. Avoid calculation mistakes by solving step-by-step  
4. Read the question carefully to understand what is asked  
5. Practice diagrams wherever needed to visualize shapes  
6. Double-check final answers for accuracy  
7. For application-based questions, focus on understanding the situation  
8. Write answers neatly and clearly for better presentation  
9. Practice more questions to improve speed and confidence  

NCERT solutions – complete answer key

Exercise No. 12.1

1. 160 cm²  
2. 572 cm²  
3. 214.5 cm²  
4. 332.5 cm²  
5. 6l² + (πl²/4)  
6. 220 mm²  
7. Area = 44 m²  
  Cost = ₹22000  
8. Area = 44 m²  
  Cost = ₹22000  
9. 374 cm²  

Exercise No. 12.2

1. π cm³  
2. 66 cm³  
3. 338.2 cm³ (approx.)  
4. 360000π cm³  
5. 100  
6. 892.26 kg (approx.)  
7. 523.53 cm³ (approx.)  
8. Yes, approximately correct (Calculated volume ≈ 346.62 cm³)  

Why NCERT solutions help students?

NCERT solutions help students build a strong understanding of concepts and prepare effectively for exams. They provide clear and accurate answers that match exam expectations, improve confidence, and help students learn the correct approach to solving problems step-by-step.

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