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 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 3.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 4.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 5.A box is 4 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 6.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 7.A fish tank is 110 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 9.A box is 15 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 10.A fish tank is 60 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 11.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 12.A box is 20 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 13.A cylinder has a radius of 7 cm and a height of 17 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 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 4 cm?
- 16.A box is 13 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 17.A closed box is 6 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 18.A fish tank is 90 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A box is 4 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 20.A fish tank is 60 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.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)?
- 22.A fish tank is 80 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 24.A box is 13 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 25.A fish tank is 70 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A box is 15 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 27.A fish tank is 40 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 29.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 31.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 32.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)?
- 33.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 34.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 20 cm?
- 35.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 20 cm?
- 37.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 16 cm?
- 38.A box is 14 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 39.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 8316
- 576
- 27
- 150
- 128
- 1728
- 132
- 512
- 840
- 48
- 384
- 2640
- 2618
- 462
- 30
- 1573
- 344
- 288
- 36
- 108
- 264
- 224
- 5544
- 1040
- 224
- 300
- 16
- 1540
- 308
- 1232
- 216
- 396
- 3375
- 120
- 2772
- 90
- 40
- 462
- 18018
- 770
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