ICSE Class 9 Maths | 6. Mensuration by Pavan | Learn Smarter with Allrounder.ai
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6. Mensuration

Mensuration encompasses the measurement of lengths, areas, and volumes of various geometric figures and solids. It covers calculations related to 2D and 3D shapes, including cuboids, cubes, cylinders, cones, spheres, and hemispheres. The chapter also discusses the conversion of measurement units and applications of mensuration in real-life scenarios such as construction and manufacturing.

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Sections

  • 6

    Mensuration

    Mensuration is the study of measuring lengths, areas, and volumes of various geometrical shapes.

  • 6.1

    Introduction To Mensuration

    Mensuration is the field of mathematics focused on measuring lengths, areas, and volumes of various geometric shapes.

  • 6.2

    Surface Area And Volume Of Solids

    This section covers the formulas for calculating the surface area and volume of different three-dimensional solids such as cuboids, cubes, cylinders, cones, spheres, and hemispheres.

  • 6.2.1

    Cuboid

    This section covers the key properties of cuboids, including their surface area and volume formulas.

  • 6.2.2

    Cube

    This section covers the properties and formulas related to the cube, a special type of three-dimensional shape.

  • 6.2.3

    Cylinder

    This section covers the surface area and volume of a cylinder, detailing the formulas needed for calculations.

  • 6.2.4

    Cone

    This section covers the geometric properties of a cone, including its surface area and volume calculations.

  • 6.2.5

    Sphere

    The sphere is defined as a perfectly symmetrical 3D shape, with formulas for surface area and volume essential for various applications.

  • 6.2.6

    Hemisphere

    This section focuses on the measurement of surface area and volume of a hemisphere, including formulas for curved surface area, total surface area, and volume.

  • 6.3

    Conversion Of Units

    This section covers the fundamental principles of converting between different units of measurement, specifically focusing on length, area, and volume.

  • 6.4

    Volume And Capacity

    This section introduces the relationship between volume and capacity, emphasizing the conversion from cubic centimeters to liters.

  • 6.5

    Surface Area And Volume In Composite Figures

    This section describes how to calculate the surface area and volume of composite figures by breaking them into simpler shapes.

  • 6.6

    Applications Of Mensuration

    Mensuration has significant real-life applications in various fields such as construction, manufacturing, and storage.

References

m9-6.pdf

Class Notes

Memorization

What we have learnt

  • Mensuration involves measur...
  • Different solids have speci...
  • Unit conversions are essent...

Final Test

Revision Tests