Surface Areas and Volumes: Class 10 Mathematics (CBSE) important questions and practice
Surface Areas and Volumes is chapter 12 of 14 in CBSE Class 10 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Surface area of combinations of solids (cone on cylinder, hemisphere on cube)
- Volume of combinations of solids
- Conversion of a solid from one shape to another
- Cylinder, cone, sphere and hemisphere formulas
- Problems on toys, tents, capsules and water tanks
What examiners usually ask
- A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of the same radius; find the total surface area if the total height is 15.5 cm
- A metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm; find the height of the cylinder
- A tent is in the shape of a cylinder surmounted by a cone; find the area of canvas used
Exam tip
For combined solids, add only the exposed curved surfaces (never the joined circular bases), and in recasting problems equate volumes, not surface areas.
Surface Areas and Volumes on other boards and exams
Frequently asked questions
What are the important questions from Surface Areas and Volumes for CBSE Class 10?
The question types listed above repeat most often in CBSE Class 10 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Surface Areas and Volumes in the CBSE Class 10 Mathematics syllabus?
Yes. Surface Areas and Volumes is part of the current CBSE Class 10 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Surface Areas and Volumes MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.