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 box is 10 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 2.A fish tank is 40 cm long, 50 cm wide and 40 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 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 4.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.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)?
- 6.A fish tank is 120 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 10.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 11.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 9 cm?
- 12.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)?
- 13.A fish tank is 40 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 14.A box is 12 cm long, 4 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 15.A fish tank is 30 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 17.A closed box is 6 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 18.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 30 cm?
- 19.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.A fish tank is 50 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.A closed box is 20 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 22.A fish tank is 50 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A closed box is 17 cm long, 10 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 24.A fish tank is 80 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A box is 8 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 26.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 27.A fish tank is 40 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A closed box is 18 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 29.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 30.A fish tank is 100 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A box is 15 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 32.A box is 19 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 33.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 34.A fish tank is 40 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A box is 20 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 36.A closed box is 4 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 37.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)?
- 38.A box is 3 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 39.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 40.A box is 7 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
Answer key
- 1000
- 80
- 704
- 9702
- 18018
- 240
- 616
- 54
- 64
- 729
- 54
- 9240
- 24
- 528
- 60
- 64
- 288
- 36
- 792
- 50
- 998
- 350
- 772
- 432
- 240
- 528
- 168
- 444
- 216
- 480
- 1080
- 1482
- 600
- 120
- 1920
- 276
- 176
- 231
- 1728
- 168
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