Enrol to start learning
Reading is open to everyone. Enrolling is free, and it is what unlocks the audio lessons, practice tests and progress tracking.
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.
Sections
This section introduces the concepts of surface area and volume of various 3D solids.
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.
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.
Practice Exercises
Total Questions
5
Estimated Time
10 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting