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 pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 2.A closed box is 13 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 3.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 4.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 5.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 7.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A fish tank is 110 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 11.A box is 6 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 12.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 13.A box is 7 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 14.A box is 14 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 15.A box is 14 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 16.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 20 cm?
- 17.A closed box is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 18.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 8 cm?
- 21.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 15 cm?
- 22.A box is 6 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 23.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 24.A closed box is 6 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 25.A box is 3 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 26.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 27.A box is 6 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 28.A fish tank is 50 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A box is 10 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 30.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 31.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 32.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
- 33.A fish tank is 90 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 34.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)?
- 35.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 12 cm?
- 36.A box is 9 cm long, 15 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 37.A fish tank is 110 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A closed box is 4 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 39.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 1496
- 512
- 396
- 64
- 3080
- 22176
- 11704
- 1848
- 308
- 150
- 96
- 18018
- 686
- 280
- 420
- 50
- 118
- 2772
- 4312
- 72
- 30
- 36
- 1694
- 308
- 297
- 1350
- 216
- 90
- 120
- 1000
- 96
- 27
- 135
- 1320
- 54
- 675
- 154
- 172
- 1386
- 26334
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