Class 10 Maths — Chapter 12: SURFACE AREAS AND VOLUMES

What you'll learn

• ▸Understanding Surface Area of Combined Solids
• ▸Surface Area of Cylinder-Hemisphere Combinations
• ▸Surface Area of Cone-Hemisphere Combinations
• ▸Surface Area of Solids with Surmounted Shapes
• ▸Surface Area of Solids with Depressions or Cavities
• ▸Surface Area of Cylinder-Cone Combinations
• ▸Application in Real-World Problems

Chapter Summary

--- PAGE 1 --- 1062CH13 SURFACE AREAS AND 12 VOLUMES 12.1 Introduction From Class IX, you are familiar with some of the solids like cuboid, cone, cylinder, and sphere (see Fig. 12.1). You have also learnt how to find their surface areas and volumes. (i) (ii) (iii) (iv) Fig. 12.1 In our day-to-day life, we come across a number of solids made up of combinations of two or more of the basic solids as shown above. You must have seen a truck with a container fitted on its back (see Fig. 12.2), carrying oil or water from one place to another. Is it in the shape of any of the four basic solids mentioned above? You may guess that it is made of a cylinder with two hemispheres as its ends. Fig. 12.2 Reprint 2025-26 --- PAGE 2 --- 162 MATHEMATICS Again, you may have seen an object like the one in Fig. 12.3. Can you name it? A test tube, right! You would ha…

Practice Questions from this Chapter

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1. Design a combined shape object? Get Solution →
2. Estimate paint needed for a toy? Get Solution →
3. Calculate water volume in a pool? Get Solution →
4. According to the text, which four basic solids are mentioned as being familiar from Class IX? Get Solution →
5. What is the shape of a test tube as described in the chapter? Get Solution →
6. When calculating the volume of a new solid formed by joining two basic solids, how is the total volume determined? Get Solution →
7. What does 'CSA' stand for in the context of this chapter? Get Solution →
8. In Example 1, the playing top (lattu) is a combination of which two shapes? Get Solution →

Did you know?

• 💡 A sphere holds the most volume for its outside surface area.
• 💡 Ancient Greeks proved only five types of regular polyhedra exist.
• 💡 Honeybees use hexagonal cells, the most efficient shape for storing honey.
• 💡 Giant sequoia trees, the world's largest, grow in huge cylindrical shapes.
• 💡 All snowflakes have a six-sided, hexagonal symmetry, like a tiny prism.

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