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 cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.A fish tank is 60 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 4.A fish tank is 30 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.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)?
- 6.A box is 14 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 7.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A box is 11 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 9.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 10.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 12.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 13.A cylinder has a radius of 14 cm and a height of 3 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 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 16.A fish tank is 120 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.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)?
- 18.A box is 11 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 19.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 20.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)?
- 21.A closed box is 4 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 22.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 12 cm?
- 23.A fish tank is 80 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.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)?
- 25.A fish tank is 100 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A fish tank is 40 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 28.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)?
- 29.A closed box is 10 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 30.A fish tank is 120 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A closed box is 18 cm long, 10 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 33.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 34.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 8 cm?
- 35.A box is 5 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 36.A fish tank is 40 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A closed box is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 38.A box is 3 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 39.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 40.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
Answer key
- 6776
- 126
- 748
- 216
- 440
- 980
- 23562
- 363
- 216
- 528
- 96
- 512
- 1848
- 3080
- 294
- 168
- 4158
- 495
- 27
- 528
- 202
- 24
- 96
- 792
- 450
- 96
- 1728
- 9240
- 256
- 960
- 924
- 976
- 1000
- 20
- 225
- 280
- 230
- 54
- 384
- 8
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