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JAC • Class 8 • Mathematics • Ch 15
Estimated Time: 45 Mins
Study Progress: In Progress

Surface Area and Volume of Three-Dimensional Figures

JCERT · Class 8 · Chapter 15 · Surface Area and Volume of Three-Dimensional Figures. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Why This Chapter Matters

JCERT · Class 8 · Chapter 15 · Surface Area and Volume of Three-Dimensional Figures. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Before You Begin (Prerequisites)

  • Revise the relevant ideas from the previous grade.

What You Will Learn (Core Objectives)

  • Distinguish surface area from volume for cuboids, cubes and cylinders. Total area includes all surfaces; lateral or curved area counts the relevant sides. Remove missing faces for open containers. Use cubic units for volume and convert capacity correctly.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...
2 Concept and method
3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 8 · Chapter 15 — Surface Area and Volume of Three-Dimensional Figures
Official syllabus pages 222–239. Official syllabus · Prescribed Hindi book (17 chapters).

These topic notes and teaching examples are not a complete answer key to every textbook exercise. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

Distinguish surface area from volume for cuboids, cubes and cylinders. Total area includes all surfaces; lateral or curved area counts the relevant sides. Remove missing faces for open containers. Use cubic units for volume and convert capacity correctly.

Check and common pitfall

Do not mix square units and cubic units.

Key Formulas, Identities & Theorems

Key relationships
Cuboid:TSA=2(lb+bh+hl),V=lbh; cylinder:CSA=2πrh,V=πr²h; 1L=1000cm³
Observe formula conditions and units.

Conceptual Solved Examples & Case Studies

Example 1
Find total surface area and volume of a closed5cm×4cm×3cm cuboid.
Step-by-Step Solution:

TSA=2(20+12+15)=94cm²; V=5×4×3=60cm³

Do not mix square units and cubic units.

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