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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.

Sections

  • 6

    Mensuration

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

    Learning Practice

  • 6.1

    Introduction To Mensuration

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

    Learning Practice

  • 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.

    Learning Practice

  • 6.2.1

    Cuboid

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

    Learning Practice

  • 6.2.2

    Cube

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

    Learning Practice

  • 6.2.3

    Cylinder

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

    Learning Practice

  • 6.2.4

    Cone

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

    Learning Practice

  • 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.

    Learning Practice

  • 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.

    Learning Practice

  • 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.

    Learning Practice

  • 6.4

    Volume And Capacity

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

    Learning Practice

  • 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.

    Learning Practice

  • 6.6

    Applications Of Mensuration

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

    Learning Practice

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

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