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 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.A closed box is 16 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 3.A closed box is 12 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 4.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 6.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)?
- 7.A fish tank is 80 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A closed box is 4 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 10.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 11.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)?
- 12.A fish tank is 60 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 16 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 14.A box is 9 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 15.A fish tank is 50 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A box is 4 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 17.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.A closed box is 10 cm long, 4 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 19.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 20.A fish tank is 90 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.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)?
- 22.A box is 7 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 23.A box is 6 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 24.A box is 9 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 25.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)?
- 26.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 12 cm?
- 27.A fish tank is 60 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 29.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A box is 16 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 31.A closed box is 20 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 32.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 33.A closed box is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 34.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 30 cm?
- 35.A fish tank is 30 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 36.A box is 7 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 37.A fish tank is 90 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A box is 5 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 39.A fish tank is 80 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 23562
- 666
- 320
- 7392
- 294
- 1694
- 256
- 112
- 1014
- 216
- 1056
- 72
- 622
- 1089
- 30
- 80
- 352
- 248
- 512
- 432
- 770
- 336
- 360
- 270
- 18018
- 45
- 120
- 729
- 4928
- 480
- 580
- 24
- 78
- 36
- 135
- 315
- 648
- 540
- 448
- 352
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