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 cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 2.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)?
- 3.A fish tank is 50 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
- 5.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 6.A closed box is 18 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 7.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 16 cm?
- 8.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A box is 16 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 10.A box is 7 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 11.A box is 16 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 12.A box is 14 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 13.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 14.A box is 16 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 15.A box is 9 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 16.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)?
- 17.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 18.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
- 19.A box is 18 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 20.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 21.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 22.A box is 17 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 23.A closed box is 13 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 24.A closed box is 6 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 25.A fish tank is 60 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A closed box is 14 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 27.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 12 cm?
- 28.A pipe (a cylinder) has a radius of 14 cm and a length of 12 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 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A closed box is 11 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 31.A box is 9 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 32.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 33.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A closed box is 10 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 35.A closed box is 5 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 36.A fish tank is 120 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.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)?
- 38.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 18 cm?
- 39.A closed box is 17 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 40.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 150
- 4312
- 45
- 60
- 1014
- 1150
- 100
- 924
- 160
- 924
- 192
- 462
- 1386
- 1056
- 252
- 2926
- 512
- 36
- 2376
- 15246
- 704
- 1700
- 1012
- 292
- 432
- 184
- 45
- 1056
- 308
- 404
- 1386
- 216
- 484
- 138
- 256
- 600
- 396
- 60
- 582
- 240
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