Class 10 (CBSE) · Mathematics
Surface Areas and Volumes
15 practice questions with full step-by-step solutions — free, no sign-up.
This chapter has
Surface Areas and Volumes — solved practice questions
8 Class 10 Mathematics questions with step-by-step solutions. Attempt each, then reveal the answer.
- Q1easy
The total surface area of a cube with side a is:
- A4a²
- B6a²
- Ca³
- D3a²
Show answer & solution
Correct answer: (B) 6a²
A cube has 6 equal square faces. TSA = 6a².
- Q2easy
The volume of a cuboid with length l, breadth b and height h is:
- Albh
- B2(lb+bh+lh)
- Clb+bh+lh
- D2lbh
Show answer & solution
Correct answer: (A) lbh
Volume = l × b × h.
- Q3easy
The curved surface area of a cylinder with radius r and height h is:
- Aπrh
- B2πrh
- Cπr²h
- D2πr²+2πrh
Show answer & solution
Correct answer: (B) 2πrh
CSA = 2πrh.
- Q4medium
The total surface area of a cylinder is:
- A2πrh
- Bπr(r+h)
- C2πr(r+h)
- Dπr²h
Show answer & solution
Correct answer: (C) 2πr(r+h)
TSA = 2πrh + 2πr² = 2πr(h + r).
- Q5easy
The volume of a cylinder is:
- A2πrh
- Bπr²h
- Cπrh²
- Dπr²+h
Show answer & solution
Correct answer: (B) πr²h
V = πr²h.
- Q6medium
The volume of a cone with radius r and height h is:
- A(1/3)πr²h
- Bπr²h
- C(2/3)πr²h
- D(1/2)πr²h
Show answer & solution
Correct answer: (A) (1/3)πr²h
V = (1/3)πr²h.
- Q7medium
The slant height of a cone is:
- Ar+h
- B√(r²+h²)
- C√(r+h)
- Dh²+r²
Show answer & solution
Correct answer: (B) √(r²+h²)
l = √(r²+h²).
- Q8medium
The total surface area of a cone is:
- Aπrl
- Bπr²+h
- Cπr(l+r)
- D2πrl
Show answer & solution
Correct answer: (C) πr(l+r)
TSA = πrl + πr² = πr(l+r), where l is slant height.
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