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 box is 14 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 2.A box is 13 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 3.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A closed box is 9 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 5.A fish tank is 30 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 7.A box is 9 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 8.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.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)?
- 10.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 12.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.A closed box is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 14.A fish tank is 100 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A closed box is 18 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 16.A box is 7 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 17.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.A box is 20 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 19.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
- 21.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 22.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 24.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 25.A box is 20 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 26.A closed box is 18 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 27.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
- 28.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 12 cm?
- 29.A fish tank is 80 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A closed box is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 31.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)?
- 32.A fish tank is 70 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 10 cm?
- 34.A fish tank is 40 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 6 cm?
- 36.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 37.A box is 17 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 38.A closed box is 20 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 39.A closed box is 15 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 1568
- 585
- 8624
- 124
- 120
- 54
- 135
- 1694
- 352
- 132
- 660
- 88
- 242
- 140
- 486
- 70
- 1232
- 600
- 8316
- 24
- 729
- 9240
- 864
- 7392
- 700
- 1002
- 36
- 72
- 80
- 358
- 2002
- 252
- 30
- 288
- 24
- 486
- 1428
- 432
- 230
- 1584
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