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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What we have learnt
- Mensuration involves measuring lengths, areas, and volumes of geometric figures.
- Different solids have specific formulas for surface area and volume.
- Unit conversions are essential when working with measurements in different contexts.
Key Concepts
- -- Cuboid
- A three-dimensional shape with six rectangular faces, where length, breadth, and height can be measured.
- -- Cube
- A special case of a cuboid where all sides are equal in length.
- -- Cylinder
- A solid with two parallel circular bases connected by a curved surface.
- -- Cone
- A three-dimensional shape with a circular base that tapers to a point called the apex.
- -- Sphere
- A perfectly symmetrical three-dimensional shape where every point on the surface is equidistant from the center.
- -- Hemisphere
- Half of a sphere, divided by a plane passing through the center.
- -- Surface Area
- The total area that the surface of a three-dimensional object occupies.
- -- Volume
- The amount of space occupied by a three-dimensional object.
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