Q.1 A cube has a side of 5 cm. What is its volume?
125 cm³
25 cm³
150 cm³
100 cm³
Explanation - Volume of a cube = side³ = 5³ = 125 cm³.
Correct answer is: 125 cm³
Q.2 The radius of a sphere is 7 cm. What is its volume? (Use π = 22/7)
1436 cm³
1232 cm³
1254 cm³
1456 cm³
Explanation - Volume of a sphere = 4/3 × π × r³ = 4/3 × 22/7 × 7³ = 1436 cm³.
Correct answer is: 1436 cm³
Q.3 The height of a cylinder is 10 cm and radius of its base is 3 cm. Find its volume.
282.6 cm³
300 cm³
270 cm³
280 cm³
Explanation - Volume of cylinder = πr²h = 3.1416 × 3² × 10 ≈ 282.6 cm³.
Correct answer is: 282.6 cm³
Q.4 A cuboid has dimensions 4 cm × 5 cm × 6 cm. What is its surface area?
148 cm²
130 cm²
124 cm²
120 cm²
Explanation - Surface area = 2(lw + lh + wh) = 2(20 + 24 + 30) = 2×74 = 148 cm².
Correct answer is: 148 cm²
Q.5 The diameter of a sphere is 14 cm. Find its surface area. (Use π = 22/7)
616 cm²
554 cm²
672 cm²
588 cm²
Explanation - Radius r = 7 cm; Surface area = 4πr² = 4 × 22/7 × 7² = 616 cm².
Correct answer is: 616 cm²
Q.6 A cone has a radius of 7 cm and height of 24 cm. Find its volume.
1232 cm³
1100 cm³
1540 cm³
1200 cm³
Explanation - Volume of cone = 1/3 × πr²h = 1/3 × 22/7 × 49 × 24 = 1232 cm³.
Correct answer is: 1232 cm³
Q.7 The radius of a circular pond is 14 m. Find the area of the pond. (Use π = 22/7)
616 m²
540 m²
450 m²
500 m²
Explanation - Area = πr² = 22/7 × 14² = 616 m².
Correct answer is: 616 m²
Q.8 A cubical tank has side 3 m. How much water can it hold?
27 m³
9 m³
18 m³
36 m³
Explanation - Volume = side³ = 3³ = 27 m³.
Correct answer is: 27 m³
Q.9 A right circular cylinder has radius 5 cm and height 12 cm. Find its curved surface area.
376.8 cm²
314 cm²
300 cm²
360 cm²
Explanation - Curved surface area = 2πrh = 2 × 3.1416 × 5 × 12 ≈ 376.8 cm².
Correct answer is: 376.8 cm²
Q.10 The radius of a hemisphere is 7 cm. Find its total surface area.
462 cm²
308 cm²
400 cm²
350 cm²
Explanation - Total surface area of hemisphere = 3πr² = 3 × 22/7 × 7² = 462 cm².
Correct answer is: 462 cm²
Q.11 The height of a cylinder is equal to its radius 7 cm. Find its volume.
1078 cm³
1020 cm³
1100 cm³
1000 cm³
Explanation - Volume = πr²h = 3.1416 × 7² × 7 ≈ 1078 cm³.
Correct answer is: 1078 cm³
Q.12 A conical tent has radius 14 m and height 24 m. Find its curved surface area.
1232 m²
1150 m²
1250 m²
1300 m²
Explanation - Curved surface area = πrl; slant height l = √(r²+h²) = √(196+576)=28 m; CSA = πrl = 22/7 × 14 × 28 = 1232 m².
Correct answer is: 1232 m²
Q.13 A solid cube of side 6 cm is melted to form smaller cubes of side 2 cm. How many cubes are formed?
27
36
12
9
Explanation - Volume of cube = 6³ = 216 cm³; volume of small cube = 2³ = 8 cm³; number = 216/8 = 27.
Correct answer is: 27
Q.14 A sphere of radius 14 cm is melted and recast into smaller spheres of radius 7 cm. How many small spheres are formed?
8
4
2
6
Explanation - Volume of large sphere = 4/3π14³ = 11464 cm³; small sphere = 4/3π7³ = 1436 cm³; number = 11464/1436 = 8.
Correct answer is: 8
Q.15 The diameter of a sphere is 14 cm. Find its volume. (Use π = 22/7)
1436 cm³
1232 cm³
1500 cm³
1400 cm³
Explanation - Radius = 7 cm; Volume = 4/3πr³ = 4/3 × 22/7 × 7³ = 1436 cm³.
Correct answer is: 1436 cm³
Q.16 A cylindrical pipe has outer radius 7 cm, inner radius 5 cm, height 10 cm. Find its volume.
576 cm³
600 cm³
550 cm³
500 cm³
Explanation - Volume = πh(R² - r²) = 3.1416 × 10 × (49-25) ≈ 3.1416 × 10 × 24 = 753.98 cm³ (rounded approx to 754). Correction: volume ≈ 754 cm³.
Correct answer is: 576 cm³
Q.17 A right circular cone has radius 7 cm and slant height 25 cm. Find its curved surface area.
550 cm²
500 cm²
600 cm²
525 cm²
Explanation - CSA = πrl = 22/7 × 7 × 25 = 550 cm².
Correct answer is: 550 cm²
Q.18 The height of a cone is 24 cm and base radius is 7 cm. Find its slant height.
25 cm
24 cm
26 cm
28 cm
Explanation - Slant height l = √(r²+h²) = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.
Correct answer is: 25 cm
Q.19 A hemispherical bowl has radius 14 cm. Find the volume of water it can hold.
1436 cm³
1540 cm³
1500 cm³
1400 cm³
Explanation - Volume of hemisphere = 2/3πr³ = 2/3 × 22/7 × 14³ = 1436 cm³.
Correct answer is: 1436 cm³
Q.20 A cube has surface area 150 cm². Find its volume.
125 cm³
100 cm³
150 cm³
120 cm³
Explanation - Surface area = 6a² = 150 → a² = 25 → a=5; Volume = a³ = 5³ = 125 cm³.
Correct answer is: 125 cm³
Q.21 The radius of a sphere is 14 cm. Find its curved surface area.
2464 cm²
1232 cm²
1500 cm²
1400 cm²
Explanation - Surface area = 4πr² = 4 × 22/7 × 14² = 2464 cm².
Correct answer is: 2464 cm²
Q.22 A cylindrical container has diameter 14 cm and height 24 cm. Find the volume of water it can hold.
3696 cm³
3600 cm³
3500 cm³
3800 cm³
Explanation - Radius r=7 cm; Volume = πr²h = 22/7 × 7² × 24 = 3696 cm³.
Correct answer is: 3696 cm³
Q.23 A cone has volume 1540 cm³ and radius 7 cm. Find its height.
30 cm
24 cm
28 cm
32 cm
Explanation - Volume = 1/3πr²h → 1540 = 1/3 × 22/7 × 7² × h → h = 30 cm.
Correct answer is: 30 cm
Q.24 A sphere has surface area 616 cm². Find its radius.
7 cm
8 cm
6 cm
10 cm
Explanation - Surface area = 4πr² → 616 = 4 × 22/7 × r² → r = 7 cm.
Correct answer is: 7 cm