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 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A box is 10 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 3.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A closed box is 17 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 5.A box is 14 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 6.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A fish tank is 50 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A box is 5 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 9.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.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)?
- 11.A closed box is 3 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 12.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 13.A closed box is 19 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 14.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.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)?
- 16.A box is 8 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 17.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 6 cm?
- 18.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A closed box is 19 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 20.A box is 4 cm long, 6 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 21.A closed box is 7 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 22.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A closed box is 7 cm long, 7 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 24.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)?
- 25.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 26.A box is 4 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 27.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 28.A fish tank is 80 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 15 cm?
- 30.A fish tank is 80 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A box is 11 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 32.A fish tank is 90 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 34.A closed box is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 36.A box is 9 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 37.A closed box is 9 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 38.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A box is 13 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 40.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?
Answer key
- 99
- 900
- 20790
- 222
- 1232
- 54
- 120
- 715
- 1496
- 1760
- 112
- 54
- 290
- 176
- 18018
- 120
- 24
- 2002
- 842
- 168
- 136
- 13860
- 406
- 352
- 6776
- 100
- 1014
- 160
- 120
- 320
- 132
- 81
- 729
- 310
- 1350
- 720
- 378
- 352
- 156
- 24
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