Online Test — Surface Areas and Volumes
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
The total surface area of a cube with side 5 cm is:
150 cm²
125 cm²
100 cm²
175 cm²
Explanation: TSA = 6a² = 6 × 25 = 150 cm²
Question 2 of 10
medium
The volume of a cuboid with dimensions 4 cm × 3 cm × 2 cm is:
24 cm³
12 cm³
48 cm³
9 cm³
Explanation: Volume = 4 × 3 × 2 = 24 cm³
Question 3 of 10
medium
The curved surface area of a cylinder with radius 7 cm and height 10 cm (π=22/7) is:
220 cm²
440 cm²
660 cm²
880 cm²
Explanation: CSA = 2πrh = 2 × 22/7 × 7 × 10 = 440 cm²
Question 4 of 10
medium
The volume of a sphere with radius 3 cm (π=3.14) is:
113.04 cm³
37.68 cm³
84.78 cm³
50.24 cm³
Explanation: Volume = (4/3)πr³ = (4/3) × 3.14 × 27 = 113.04 cm³
Question 5 of 10
medium
1 m³ is equal to:
100 cm³
1000 cm³
10,000 cm³
1,000,000 cm³
Explanation: 1 m = 100 cm, so 1 m³ = 100³ = 1,000,000 cm³
Question 6 of 10
medium
The total surface area of a hemisphere with radius 5 cm (π=3.14) is:
157 cm²
235.5 cm²
314 cm²
471 cm²
Explanation: TSA hemisphere = 3πr² = 3 × 3.14 × 25 = 235.5 cm²
Question 7 of 10
medium
The volume of a cone with radius 3 cm and height 4 cm (π=3.14) is:
12.56 cm³
25.12 cm³
37.68 cm³
50.24 cm³
Explanation: Volume = (1/3)πr²h = (1/3) × 3.14 × 9 × 4 = 37.68 cm³
Question 8 of 10
medium
Convert 3.5 m² to cm²:
350 cm²
3,500 cm²
35,000 cm²
350,000 cm²
Explanation: 3.5 × 10,000 = 35,000 cm²
Question 9 of 10
medium
The lateral surface area of a cube with side 6 cm is:
216 cm²
144 cm²
72 cm²
36 cm²
Explanation: LSA = 4a² = 4 × 36 = 144 cm²
Question 10 of 10
medium
A cylinder has volume 1540 cm³ and height 10 cm. Its radius (π=22/7) is:
3.5 cm
5 cm
7 cm
10 cm
Explanation: πr²h = 1540 → (22/7) × r² × 10 = 1540 → r² = 49 → r = 7 cm