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 70 cm long, 20 cm wide and 70 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 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.A closed box is 4 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 4.A fish tank is 90 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A fish tank is 90 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 8.A box is 13 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 9.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 15 cm?
- 10.A box is 3 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 11.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 12.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 6 cm?
- 13.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 25 cm?
- 14.A closed box is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 15.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)
- 16.A fish tank is 40 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A box is 19 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 18.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A closed box is 13 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 20.A fish tank is 70 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.A box is 10 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 22.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 23.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 24.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 25.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 26.A fish tank is 70 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A closed box is 10 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 28.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.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)?
- 30.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)?
- 31.A closed box is 11 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 32.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 33.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
- 34.A pipe (a cylinder) has a radius of 11 cm and a length of 7 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 8 cm × 12 cm × 8 cm?
- 36.A box is 19 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 37.A fish tank is 30 cm long, 60 cm wide and 70 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 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 40.A box is 4 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
Answer key
- 98
- 1672
- 52
- 378
- 440
- 90
- 27
- 1170
- 90
- 63
- 6776
- 36
- 30
- 142
- 154
- 288
- 570
- 3080
- 444
- 84
- 90
- 2197
- 216
- 2744
- 729
- 189
- 556
- 528
- 396
- 44
- 252
- 9240
- 40
- 484
- 12
- 190
- 126
- 792
- 1232
- 360
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