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 120 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A fish tank is 50 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A fish tank is 120 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A fish tank is 50 cm long, 70 cm wide and 40 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 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 12 cm?
- 7.A fish tank is 110 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
- 9.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 10.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; 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 4 cm fit exactly in a box that is 16 cm × 12 cm × 16 cm?
- 13.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)?
- 14.A fish tank is 100 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A box is 20 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 16.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 20 cm?
- 17.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)?
- 18.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 20.A fish tank is 120 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.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)?
- 22.A closed box is 20 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 23.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A box is 7 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 25.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)?
- 26.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 8 cm?
- 27.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
- 28.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 29.A closed box is 9 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 30.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 31.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 33.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 35.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)?
- 36.A box is 11 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 37.A box is 20 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 38.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
- 39.A closed box is 7 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 40.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 20 cm?
Answer key
- 144
- 100
- 504
- 140
- 264
- 60
- 165
- 30
- 1350
- 19404
- 6776
- 48
- 4312
- 250
- 540
- 45
- 7392
- 88
- 125
- 480
- 11088
- 874
- 112
- 189
- 1694
- 24
- 24
- 294
- 366
- 864
- 1584
- 96
- 396
- 968
- 44
- 242
- 720
- 50
- 370
- 96
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