CBSE Class 10 Mathematics Basic 2026: question 15
Set in the CBSE Class 10 board exam of 2026, paper 430/1/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q15 · 1 mark · MCQSurface Areas and Volumes
For which of the following solids is the lateral / curved surface area and total surface area the same ?
- (A)Cube
- (B)Cuboid
- (C)Hemisphere
- (D)Sphere
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
TSA = LSA/CSA + area of flat faces.
Hint 2
Which solid has no flat face at all?
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
A sphere has no flat faces, so its whole surface is curved: CSA = TSA .
- 1 mark
Cube, cuboid and hemisphere all have extra faces (top/bottom or flat base), so their TSA exceeds their LSA/CSA. Hence option (D).
Answer: Sphere, option (D)
Where the marks are
- Identifies sphere as CSA = TSA = (1 mark)
Revise the chapter
- Chapter: Surface Areas and Volumes (notes, formulas, where marks are lost and every past question)
- Topic: Surface Area of a Combination of Solids
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