Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
The chapter provides insights on surface areas and volumes of various solids, particularly combinations of basic shapes such as cubes, cylinders, cones, and hemispheres. It emphasizes methods to calculate the surface areas and volumes efficiently by breaking compounds into simpler components. Several real-life applications of these geometric principles are demonstrated through examples and exercises.
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- To determine the surface ar...
- To find the volume of objec...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- To determine the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere, and hemisphere.
- To find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere, and hemisphere.
Key Concepts
-
Term: Total Surface Area (TSA)
Definition: The sum of all the surfaces of a solid object. For composite solids, it is calculated by adding the curved surface areas of individual solids, excluding any overlapping surfaces.
-
Term: Curved Surface Area (CSA)
Definition: The area of the curved surface of a solid, excluding the base. For instance, the CSA of a cylinder does not include its circular bases.
-
Term: Volume
Definition: The amount of three-dimensional space occupied by a substance or an object, commonly measured in cubic units.
-
Term: Hemisphere
Definition: Half of a sphere, defined by cutting through its center. Often appears in geometry problems related to surface area and volume.
-
Term: Cone
Definition: A three-dimensional geometric shape that tapers smoothly from a flat base (which is typically circular) to a pointed apex.