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 closed box is 4 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 2.A closed box is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 3.A closed box is 15 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 4.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A closed box is 17 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 6.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)?
- 7.A closed box is 18 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 8.A box is 3 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 9.A fish tank is 120 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 11.A closed box is 9 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 12.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 14.A box is 7 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 15.A closed box is 18 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 16.A fish tank is 30 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
- 18.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.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)?
- 20.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 21.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)?
- 22.A box is 18 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 23.A fish tank is 90 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 25.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 26.A closed box is 10 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 27.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)?
- 28.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)?
- 29.A fish tank is 120 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 10 cm?
- 31.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)?
- 32.A closed box is 20 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 33.A closed box is 19 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.A closed box is 3 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 35.A cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.A closed box is 20 cm long, 9 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 20 cm × 8 cm × 8 cm?
- 38.A box is 20 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 39.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 40.A box is 20 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
Answer key
- 220
- 174
- 838
- 308
- 522
- 1584
- 732
- 78
- 672
- 6160
- 594
- 440
- 216
- 350
- 472
- 54
- 108
- 32
- 9240
- 384
- 484
- 1386
- 270
- 1760
- 24
- 768
- 748
- 8624
- 336
- 60
- 484
- 626
- 244
- 346
- 1848
- 650
- 20
- 700
- 216
- 1980
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