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 fish tank is 90 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A closed box is 19 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 3.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A fish tank is 70 cm long, 50 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 4 cm fit exactly in a box that is 16 cm × 16 cm × 16 cm?
- 6.A fish tank is 90 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A box is 19 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 8.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 9.A fish tank is 60 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 20 cm?
- 11.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 4 cm?
- 12.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)?
- 13.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 14.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 15.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 16.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.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)?
- 18.A fish tank is 70 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A fish tank is 100 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.A box is 7 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 21.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 8 cm?
- 22.A box is 10 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 23.A fish tank is 70 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A box is 13 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 25.A box is 11 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 26.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 27.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A box is 13 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 29.A box is 6 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 30.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 31.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 33.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 15 cm?
- 34.A closed box is 7 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 35.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.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)?
- 37.A closed box is 19 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 38.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 39.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)?
- 40.A box is 10 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
Answer key
- 108
- 1126
- 3080
- 70
- 64
- 450
- 684
- 616
- 240
- 48
- 72
- 616
- 2310
- 27
- 88
- 528
- 1848
- 210
- 630
- 147
- 48
- 320
- 63
- 52
- 550
- 1350
- 1672
- 624
- 462
- 440
- 264
- 729
- 24
- 226
- 23562
- 308
- 554
- 216
- 396
- 480
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