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).
NameDateTime takenScore ___ / 40
- 1.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 9 cm?
- 2.A box is 11 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 3.A closed box is 8 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 4.A box is 14 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 5.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 24 cm?
- 6.A fish tank is 60 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A box is 6 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 9.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 6 cm?
- 10.A fish tank is 40 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 11.A box is 9 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 12.A fish tank is 90 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.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)?
- 14.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
- 15.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 16.A closed box is 20 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 17.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 24 cm?
- 18.A box is 17 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 19.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 20.A closed box is 12 cm long, 15 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 21.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 22.A box is 20 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 23.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)?
- 24.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 25.A closed box is 20 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 26.A box is 9 cm long, 3 cm wide and 10 cm high. What is its volume (in 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 13 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 29.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.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)?
- 31.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 32.A closed box is 4 cm long, 14 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 33.A box is 17 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 34.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 35.A closed box is 7 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 36.A closed box is 8 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 37.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 8 cm?
- 38.A fish tank is 60 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.A box is 4 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 40.A box is 11 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
Answer key
- 60
- 847
- 376
- 378
- 48
- 144
- 12320
- 702
- 20
- 84
- 810
- 486
- 1694
- 12
- 864
- 672
- 120
- 357
- 2197
- 900
- 216
- 640
- 3080
- 27
- 864
- 270
- 8624
- 862
- 2772
- 6776
- 1728
- 364
- 1666
- 2002
- 412
- 340
- 24
- 144
- 144
- 198
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