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, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 12 cm?
- 3.A fish tank is 120 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 5.A fish tank is 120 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 7.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A fish tank is 70 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A closed box is 19 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 10.A fish tank is 110 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 11.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)?
- 12.A closed box is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 13.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 14.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 4 cm?
- 16.A closed box is 18 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 17.A box is 4 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 18.A box is 6 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 19.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 20.A fish tank is 50 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.A box is 14 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 23.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 24.A fish tank is 90 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A closed box is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 26.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
- 27.A box is 9 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 28.A fish tank is 50 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.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)?
- 30.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 31.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 33.A closed box is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 35.A box is 6 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 36.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
- 37.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A box is 5 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 39.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 6 cm?
- 40.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 450
- 90
- 432
- 512
- 600
- 2618
- 4312
- 441
- 290
- 154
- 2002
- 342
- 729
- 704
- 60
- 810
- 384
- 36
- 1000
- 20
- 6160
- 392
- 486
- 324
- 72
- 24
- 324
- 135
- 15246
- 880
- 11704
- 216
- 136
- 4158
- 420
- 24
- 3080
- 550
- 60
- 176
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