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 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)
- 2.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 3.A closed box is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 4.A closed box is 6 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 5.A fish tank is 100 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A box is 15 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 7.A fish tank is 30 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 9.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A closed box is 11 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 11.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)?
- 12.A box is 20 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 13.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)?
- 14.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 12 cm?
- 15.A fish tank is 110 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 18.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 19.A box is 10 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 20.A box is 5 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 21.A box is 5 cm long, 15 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 22.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 25 cm?
- 23.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 24.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 25.A fish tank is 120 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A fish tank is 30 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 28.A closed box is 8 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 29.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A fish tank is 70 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A box is 13 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 33.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)?
- 34.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)?
- 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 4 cm?
- 36.A fish tank is 30 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A closed box is 6 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 38.A box is 20 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 39.A box is 18 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 40.A fish tank is 50 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 60
- 5544
- 358
- 438
- 640
- 540
- 42
- 600
- 88
- 494
- 3080
- 800
- 1320
- 54
- 770
- 176
- 8
- 27
- 550
- 110
- 675
- 20
- 2197
- 96
- 180
- 108
- 8624
- 746
- 2310
- 196
- 748
- 1456
- 22176
- 1584
- 20
- 270
- 384
- 280
- 936
- 70
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