Volume and Surface Area Worksheet
The method (Fill or wrap): Cuboid: volume = l × b × h; total surface area = 2 × (lb + bh + hl). Cube: volume = a × a × a; surface area = 6 × a × a. Cylinder (π = 22/7): volume = π × r × r × h; curved surface area = 2 × π × r × h. 1 litre = 1000 cubic cm; small cubes in a box = (L ÷ a) × (B ÷ a) × (H ÷ a).
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- 1.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.A closed box is 4 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 3.A closed box is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 4.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 5.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 4 cm?
- 6.A fish tank is 120 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A closed box is 12 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 8.A closed box is 6 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 9.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 11.A closed box is 18 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 12.A box is 13 cm long, 10 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 13.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 14.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 15.A closed box is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 16.A box is 20 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 17.A closed box is 19 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 18.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 19.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.A box is 8 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 22.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 8 cm?
- 24.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 25.A fish tank is 120 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A closed box is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 27.A box is 10 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 28.A closed box is 16 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 29.A box is 9 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 30.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 31.A closed box is 3 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 32.A box is 7 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 33.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 34.A fish tank is 100 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 12 cm?
- 36.A box is 18 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 37.A box is 10 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 39.A closed box is 20 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 40.A box is 4 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
Answer key
- 15246
- 274
- 168
- 1320
- 24
- 864
- 678
- 348
- 220
- 27
- 1272
- 1560
- 7392
- 54
- 240
- 1980
- 628
- 343
- 10472
- 528
- 480
- 216
- 24
- 132
- 324
- 328
- 140
- 976
- 216
- 484
- 132
- 546
- 3696
- 120
- 80
- 324
- 220
- 2744
- 626
- 168
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