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 110 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 3.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 20 cm?
- 4.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)?
- 5.A closed box is 9 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 6.A closed box is 17 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 7.A fish tank is 60 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A closed box is 11 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 10.A closed box is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 11.A fish tank is 70 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A box is 15 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 13.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)?
- 14.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 8 cm?
- 15.A closed box is 18 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 16.A closed box is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 17.A closed box is 16 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 18.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A box is 4 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 20.A closed box is 3 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 21.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 22.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)?
- 23.A closed box is 7 cm long, 15 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 24.A closed box is 19 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 25.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)?
- 26.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)?
- 27.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)?
- 28.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 10 cm?
- 29.A closed box is 3 cm long, 11 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 30.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 24 cm?
- 31.A box is 6 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 32.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 33.A closed box is 5 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 34.A fish tank is 50 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 36.A closed box is 10 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 37.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 10 cm?
- 38.A closed box is 3 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 39.A closed box is 8 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 40.A closed box is 20 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
Answer key
- 231
- 2464
- 60
- 88
- 300
- 662
- 108
- 18018
- 206
- 270
- 112
- 1680
- 616
- 80
- 552
- 186
- 362
- 352
- 420
- 302
- 1056
- 924
- 738
- 474
- 3080
- 1386
- 23562
- 24
- 290
- 90
- 84
- 220
- 370
- 70
- 264
- 304
- 45
- 402
- 288
- 564
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