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Chapter Summary

Solids — Chapter Summary

ICSE · Class 9 · Mathematics

Summary of Solids for ICSE Class 9 Mathematics. Key concepts: Anything which occupies space, The space occupied by a solid and The sum of the areas.

42 questions28 flashcards14 formulas & key relations5 concepts

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A comparison illustrating the concept of 1-D (perimeter), 2-D (area), and 3-D (solid/volume) figures with simple geometric shapes.
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Overview

A solid is anything which occupies space and has a definite shape. A solid is a three-dimensional figure because it has length, breadth, and height. Its volume is the space it occupies, and its surface area is the sum of the areas of all its surfaces. The chapter connects these ideas to cuboids, cub

Key Concepts

Anything which occupies space and has

Anything which occupies space and has a definite shape is called a solid. A solid has three dimensions: length, breadth, and height.

The space occupied by a solid

The space occupied by a solid is called its volume. The capacity of a container equals its internal volume. For a hollow body, the volume of material

The sum of the areas

The sum of the areas of all the surfaces of a solid is called its surface area or total surface area.

A cuboid is a rectangular solid

A cuboid is a rectangular solid which has six faces, each of which is a rectangle. Its formulas are Volume = l × b × h, Total surface area = 2(l×b + b

A cube is a rectangular solid

A cube is a rectangular solid in which each face is a square. It is a special case of a cuboid where l = b = h = a. Its formulas are Volume = a³, Tota

Learning Objectives

  • Identify a solid, volume, surface area, and cross-section.
  • Use the formulas for volume, total surface area, lateral surface area, and diagonal of a cuboid.
  • Use the formulas for volume, total surface area, lateral surface area, and diagonal of a cube.
  • Solve cost problems using Cost = Rate × Quantity.
  • Find volume and surface area for solids with uniform cross-section.

Frequently Asked Questions

What are the important topics in Solids for ICSE Class 9 Mathematics?
Key topics in Solids include Core Ideas and Definitions, Cuboid, Cube, Cost of an Article and Related Applications. Study these first, then practise questions on each for Class 9 exams.
How should I revise Solids for Class 9 exams?
Learn the core ideas first, then work through the 42 practice questions on Solids. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Solids

All ICSE Class 9 Mathematics Chapter Summary

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