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 closed box is 5 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 2.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 3.A fish tank is 70 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 5.A fish tank is 40 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A fish tank is 40 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 8 cm?
- 8.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A closed box is 12 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 10.A closed box is 6 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 11.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 12 cm?
- 12.A closed box is 16 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 13.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)?
- 14.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)?
- 15.A closed box is 7 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 16.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 18.A closed box is 12 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 19.A box is 20 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 20.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 4 cm?
- 21.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 22.A closed box is 10 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 23.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.A box is 11 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 25.A closed box is 8 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 26.A closed box is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 27.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)?
- 28.A box is 14 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 29.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A closed box is 19 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 31.A closed box is 3 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 32.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 33.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 34.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 9 cm?
- 35.A fish tank is 60 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 36.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 37.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 6 cm?
- 38.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 39.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 40.A fish tank is 120 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 118
- 125
- 294
- 8
- 320
- 64
- 20
- 2156
- 816
- 168
- 40
- 604
- 6160
- 2002
- 446
- 484
- 2197
- 662
- 320
- 60
- 1728
- 490
- 440
- 99
- 314
- 150
- 264
- 1848
- 1320
- 454
- 162
- 462
- 216
- 108
- 90
- 132
- 30
- 600
- 1014
- 672
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