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 fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 4.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A closed box is 20 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 6.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 7.A box is 7 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 8.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 12 cm?
- 10.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)?
- 11.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 12.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.A box is 15 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 14.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)?
- 15.A fish tank is 110 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A closed box is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 17.A closed box is 12 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 18.A fish tank is 80 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
- 22.A box is 19 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 23.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.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)?
- 25.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 12 cm?
- 26.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 27.A box is 4 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 28.A box is 20 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 29.A closed box is 14 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 30.A box is 19 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 31.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 33.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A closed box is 4 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 36.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A fish tank is 110 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.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)?
- 39.A fish tank is 50 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.A fish tank is 70 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 54
- 44
- 1331
- 2926
- 608
- 384
- 756
- 1000
- 48
- 132
- 11088
- 264
- 90
- 2772
- 660
- 188
- 724
- 144
- 343
- 836
- 30
- 152
- 1056
- 26334
- 48
- 132
- 288
- 1680
- 758
- 342
- 880
- 195
- 616
- 136
- 600
- 120
- 330
- 396
- 60
- 147
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