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 120 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A box is 4 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 3.A closed box is 6 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 4.A box is 12 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 5.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)?
- 6.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 12 cm?
- 7.A fish tank is 60 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A closed box is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 10.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 11.A closed box is 20 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 12.A fish tank is 50 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.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)?
- 14.A closed box is 15 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 15.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)?
- 16.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.A closed box is 19 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 18.A box is 14 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 19.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 21.A box is 17 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 22.A closed box is 4 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 23.A closed box is 13 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 24.A box is 8 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 25.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
- 26.A closed box is 17 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 27.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 28.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 29.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 30.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 31.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)?
- 32.A closed box is 11 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 33.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 34.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)?
- 35.A box is 18 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 36.A fish tank is 70 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 25 cm?
- 38.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)?
- 39.A fish tank is 80 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
Answer key
- 240
- 60
- 506
- 264
- 792
- 54
- 360
- 348
- 150
- 729
- 750
- 200
- 1540
- 272
- 19404
- 88
- 766
- 224
- 1408
- 125
- 1190
- 238
- 412
- 704
- 24
- 220
- 343
- 1000
- 216
- 96
- 13860
- 334
- 1728
- 616
- 2106
- 252
- 60
- 4312
- 168
- 12
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