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 4 cm. What is its total surface area (in sq cm)?
- 2.A fish tank is 30 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A fish tank is 90 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A fish tank is 110 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 15 cm?
- 6.A closed box is 13 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 7.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 8.A closed box is 9 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 10.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 20 cm?
- 11.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 12.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 13.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 14.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 16.A box is 11 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 17.A box is 7 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 18.A closed box is 16 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 19.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
- 20.A fish tank is 50 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.A box is 18 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 22.A box is 13 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 23.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)?
- 24.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)?
- 25.A box is 15 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 26.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 9 cm?
- 27.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 28.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.A fish tank is 110 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 31.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A closed box is 11 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 33.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)?
- 34.A fish tank is 120 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 6 cm?
- 36.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 37.A box is 6 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 38.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 39.A box is 15 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 40.A closed box is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
Answer key
- 96
- 72
- 378
- 66
- 90
- 720
- 3375
- 318
- 150
- 48
- 528
- 864
- 24948
- 1848
- 1000
- 605
- 63
- 552
- 30
- 40
- 288
- 1014
- 15246
- 8624
- 270
- 72
- 216
- 968
- 440
- 384
- 572
- 574
- 2772
- 420
- 30
- 64
- 420
- 8
- 315
- 318
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