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 box is 14 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 2.A box is 16 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 3.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 4.A closed box is 20 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 5.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 6.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 7.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 8.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 11.A fish tank is 50 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 8 cm?
- 13.A closed box is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 14.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)?
- 15.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 16.A closed box is 16 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 17.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 12 cm?
- 18.A closed box is 13 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 19.A closed box is 4 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 20.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)?
- 21.A box is 10 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 22.A box is 8 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 23.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 24.A fish tank is 100 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A fish tank is 50 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 27.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A fish tank is 100 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A closed box is 17 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 31.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 32.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 33.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 34.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 6 cm?
- 36.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)?
- 37.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A box is 18 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 39.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 40.A fish tank is 60 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 1120
- 1760
- 726
- 432
- 8
- 54
- 729
- 616
- 264
- 5544
- 140
- 24
- 184
- 1760
- 1540
- 496
- 144
- 634
- 386
- 1694
- 1100
- 144
- 384
- 560
- 60
- 1014
- 44
- 420
- 792
- 144
- 2197
- 24
- 294
- 572
- 24
- 5544
- 19404
- 504
- 512
- 180
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