Surface Area, Volume and Capacity — Chapter Summary
ICSE · Class 8 · Mathematics
Summary of Surface Area, Volume and Capacity for ICSE Class 8 Mathematics. Part of the ICSE Class 8 Mathematics syllabus.
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Overview
Surface area, volume, and capacity are closely related ideas used for cuboids, cubes, and cylinders. Volume means the space occupied by a solid, capacity means the internal volume of a container, and surface area means the sum of the areas of all the faces of a body. These ideas are measured in diff
Key Concepts
The space occupied by a body
The space occupied by a body (solid) is called its volume. It is measured in cubic units such as cm³ or m³.
The capacity of a container
The capacity of a container is its internal volume. For a box or tank, capacity means the space available inside it.
The sum of areas of all
The sum of areas of all the faces of a body is called its surface area. For a cuboid, it includes all six rectangular faces.
A cuboid is a solid bounded
A cuboid is a solid bounded by six rectangular faces. Its dimensions are length, breadth, and height.
A cube is a rectangular solid
A cube is a rectangular solid whose each face is a square. It is a special cuboid with length, breadth, and height all equal.
Learning Objectives
- Understand the meaning of volume, capacity, and surface area
- Use correct units for length, area, and volume
- Find volume, surface area, lateral surface area, and diagonal of a cuboid
- Find volume, total surface area, external surface area, and diagonal of a cube
- Solve melting and recasting problems using conservation of volume
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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