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 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 12 cm?
- 3.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 8 cm?
- 4.A fish tank is 60 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 6.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 8.A fish tank is 120 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.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)?
- 11.A closed box is 11 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 12.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 16 cm?
- 14.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 8 cm?
- 15.A fish tank is 70 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A closed box is 10 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 17.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 8 cm?
- 19.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.A closed box is 20 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 21.A fish tank is 70 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 23.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 24.A fish tank is 100 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A closed box is 15 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 26.A box is 4 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 27.A fish tank is 50 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.A fish tank is 50 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A closed box is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 31.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 33.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 34.A fish tank is 30 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A box is 5 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 36.A closed box is 8 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 37.A box is 7 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 38.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 16 cm?
- 39.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 40.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 616
- 48
- 16
- 144
- 1000
- 105
- 1014
- 864
- 88
- 20790
- 318
- 176
- 64
- 72
- 343
- 280
- 1056
- 40
- 12320
- 212
- 84
- 729
- 27720
- 490
- 894
- 352
- 270
- 440
- 100
- 258
- 8008
- 1144
- 600
- 84
- 100
- 356
- 168
- 24
- 96
- 396
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