📘 Class 10 Maths Chapter 13 – Surface Areas and Volumes | Full Chapter Explanation | NCERT | CBSE скачать в хорошем качестве

📘 Class 10 Maths Chapter 13 – Surface Areas and Volumes | Full Chapter Explanation | NCERT | CBSE

📘 Class 10 Maths Chapter 13 – Surface Areas and Volumes | Full Chapter Explanation | NCERT | CBSE #Class10Maths #surface areas and volumes #MathsOneShot #CBSE2025 #ManjeetSir #MathsRevision #class10boards2025 Instagram - https://www.instagram.com/learningshi... Facebook - https://www.facebook.com/profile.php?... Whatapp Channel - https://whatsapp.com/channel/0029VbAs... Linkedin -   / mannjjeett-sinnghh-0b8479354   Telegram - https://t.me/learningshikshaonlinetui... Threads - https://www.threads.net/@UCaPsf0zmCv6... Welcome to our Class 10 Maths video on Chapter 13: Surface Areas and Volumes 🎓 In this video, we will learn how to find the surface area and volume of different 3D solids like cube, cuboid, cylinder, cone, sphere, hemisphere, and frustum of a cone, along with real-life examples, NCERT solutions, and important board exam questions. This video is designed according to the latest NCERT syllabus and CBSE exam pattern (2025). Watch till the end to fully understand each concept and master all the formulas! 💯 🧮 Topics Covered in this Chapter: Surface Area and Volume of Combination of Solids Understanding composite solids formed by combining two or more basic solids. Examples: Ice-cream cone (cone + hemisphere), toy (cylinder + hemisphere), etc. Conversion of Solids from One Shape to Another Problems where a solid is melted and recast into another shape. Example: A metallic cylinder melted to form smaller cones or spheres. Frustum of a Cone Meaning of frustum, its shape, and daily life applications (bucket, lampshade, glass). Derivation of formulas for surface area and volume of a frustum. Applications of Surface Areas and Volumes in Daily Life Solving real-world problems related to solid objects like tanks, spheres, cones, and cylinders. Volumes: Shape Volume Formula Cube a³ Cuboid l × b × h Cylinder πr²h Cone (1/3)πr²h Sphere (4/3)πr³ Hemisphere (2/3)πr³ Frustum of a Cone (1/3)πh(r₁² + r₂² + r₁r₂) ChatGPT said: Here’s a complete list of Class 10 Maths – Surface Areas and Volumes formulas (as per NCERT Chapter 13). These are all the important surface area and volume formulas you need to memorize for board exams 👇 🧮 Class 10 Maths – Surface Areas and Volumes Formulas 🟩 1. Cube Volume of the cube formula = a3 Surface area of the cube formula = 6a2 Diagonal of a cube formula = a√3 2. Cuboid Property of Cuboid Formula Base/Top Diagonals √(l2 + w2) units Space Diagonals √(l2 + w2 + h2) units Perimeter 4(l + w + h) units Volume (l × w × h) cubic units Surface Area (or Total Surface Area, TSA) 2(lw + wh + lh) square units Lateral Surface Area, LSA 2h (l + w) square units 🟦 3. Right Circular Cylinder Radius = r, Height = h Volume of a right circular cylinder = πr2 × h cubic units Curved Surface Area (CSA) = 2πrh square units Total Surface Area (TSA)= Curved Surface Area + 2(Area of a circle) (as Curved Surface Area(CSA) = Circumference × Height = 2πr × h) ⇒ Total Surface Area (TSA) = 2πrh + 2πr2 = 2πr(h+r) square units. For more formula need watch complete video & learn concepts of whole chapter 📘 Key Points to Remember: Always use the same units (cm, m, etc.) while solving questions. Learn all π-related formulas (π = 3.14 or 22/7). Focus on unit conversions (1 m³ = 1000000 cm³). Practice NCERT Examples + Exercise 13.1 to 13.5 thoroughly. 🎓 Learning Outcomes: ✅ Understand the concept of surface area and volume of 3D objects ✅ Apply formulas to solve practical questions ✅ Derive new shapes (like frustum) and use related formulas ✅ Strengthen your preparation for CBSE Class 10 Board Exams 🎯 Keywords: class 10 maths surface areas and volumes, class 10 chapter 13 full explanation, surface area and volume formulas, class 10 maths ncert, CBSE maths class 10, cone cylinder sphere volume, frustum of cone class 10, 3D geometry class 10, board exam preparation maths, surface area and volume class 10 full chapter 💡 About this Video: This lesson will help students understand every formula, derivation, and example question from the NCERT Class 10 Maths Chapter 13 – Surface Areas and Volumes. Perfect for self-study, revision, and exam preparation for both CBSE and State Boards. 📺 Don’t Forget To: 👍 Like this video if it helped you 💬 Comment your doubts below 📢 Share it with your classmates 🔔 Subscribe for more Class 10 Maths & Science lessons