4. Mensuration
The chapter delves into the concepts of surface areas and volumes of various solids, providing essential formulas and illustrative examples for each type. Definitions clarify the difference between surface area and volume, while specific calculations for shapes like cubes, cylinders, cones, and spheres effectively demonstrate the application of these concepts. Each section emphasizes the significance of geometry in understanding three-dimensional objects and their properties.
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Sections
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What we have learnt
- Surface area is the total area covered by the surface of a 3D solid.
- Volume is the amount of space enclosed within the solid.
- Different geometrical shapes like cubes, cuboids, cylinders, cones, spheres, and hemispheres have specific formulas for calculating surface area and volume.
Key Concepts
- -- Surface Area
- The total area covered by the surface of a three-dimensional solid.
- -- Volume
- The amount of space enclosed within a solid figure.
- -- Cube
- A three-dimensional shape with equal-length edges, with specific formulas for surface area and volume.
- -- Cuboid
- A three-dimensional shape with rectangular faces, defined by its length, breadth, and height.
- -- Cylinder
- A three-dimensional shape 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 round three-dimensional shape where every point on the surface is equidistant from the center.
- -- Hemisphere
- Half of a sphere, often cut by a plane passing through its center.
Additional Learning Materials
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