CBSE 8 Mathematics | 9. Mensuration by Pavan | Learn Smarter with Allrounder.ai
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9. Mensuration

9. Mensuration

This chapter explores the concepts of mensuration, focusing on calculating the area and perimeter of various plane figures, including polygons and quadrilaterals. It also covers the surface area and volume of solid shapes such as cubes, cuboids, and cylinders, emphasizing practical applications through examples and exercises.

13 sections

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Sections

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  1. 9

    This section covers the concepts of mensuration, including the area and...

  2. 9.1
    Introduction

    This section introduces the concepts of perimeter and area, as well as...

  3. 9.2
    Area Of A Polygon

    This section covers methods to calculate the area of various polygons...

  4. 9.3
    Solid Shapes

    This section introduces solid shapes, highlighting the differences between...

  5. 9.4
    Surface Area Of Cube, Cuboid And Cylinder

    This section covers the determination of surface areas for cubes, cuboids,...

  6. 9.4.1

    This section discusses the surface area of a cuboid, including its...

  7. 9.4.2

    This section discusses the properties and calculations related to the...

  8. 9.4.3

    This section focuses on the surface area of cylinders, exploring...

  9. 9.5
    Volume Of Cube, Cuboid And Cylinder

    This section explores the concept of volume as the amount of space occupied...

  10. 9.5.1

    This section explores how to calculate the volume of a cuboid by using the...

  11. 9.5.2

    This section presents the definition and volume formula of a cube,...

  12. 9.5.3

    The section explains how to calculate the volume of a cylinder using its...

  13. 9.6
    Volume And Capacity

    This section explores the concepts of volume and capacity, highlighting...

What we have learnt

  • The area of a polygon can be derived from the areas of its component triangles and trapeziums.
  • The surface area of three-dimensional shapes is the total area of all their faces.
  • Volume measures the space occupied by a three-dimensional object and is calculated differently for various solid shapes.

Key Concepts

-- Area
The measure of the space covered by a two-dimensional shape, typically expressed in square units.
-- Perimeter
The total distance around the boundary of a two-dimensional shape.
-- Surface Area
The total area of the surface of a three-dimensional object.
-- Volume
The measure of the amount of space a three-dimensional object occupies, expressed in cubic units.
-- Cuboid
A three-dimensional shape with six rectangular faces.
-- Cylinder
A three-dimensional shape with two parallel circular bases connected by a curved surface.
-- Rhombus
A type of polygon that is a quadrilateral with opposite sides parallel and all sides equal in length.

Additional Learning Materials

Supplementary resources to enhance your learning experience.