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 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)?
- 2.A fish tank is 90 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A box is 18 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 4.A box is 19 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 5.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 6.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A box is 12 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 8.A box is 18 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 9.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 10.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 11.A box is 17 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 12.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 13.A box is 5 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 14.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 16.A closed box is 19 cm long, 10 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 17.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A box is 10 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 20.A closed box is 3 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 21.A closed box is 15 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 22.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 23.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)?
- 24.A fish tank is 30 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A box is 6 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 26.A closed box is 4 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 27.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)
- 28.A closed box is 5 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 29.A box is 19 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 30.A closed box is 10 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 31.A fish tank is 50 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.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)?
- 33.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)?
- 34.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 6 cm?
- 35.A closed box is 13 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 36.A box is 8 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 37.A closed box is 6 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 38.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A box is 10 cm long, 4 cm wide and 11 cm high. What is its volume (in cubic cm)?
Answer key
- 880
- 135
- 756
- 912
- 294
- 32
- 1008
- 450
- 600
- 24948
- 153
- 3696
- 715
- 1672
- 2744
- 844
- 264
- 880
- 200
- 150
- 198
- 2197
- 1694
- 81
- 144
- 332
- 320
- 270
- 912
- 680
- 100
- 20790
- 6160
- 72
- 490
- 336
- 540
- 528
- 16632
- 440
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