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 20 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 2.A closed box is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 3.A box is 19 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 4.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 5.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 6 cm?
- 6.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 7.A box is 19 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 8.A box is 17 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 9.A box is 11 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 10.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)?
- 11.A closed box is 5 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 12.A fish tank is 80 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A box is 8 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 14.A closed box is 11 cm long, 14 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 15.A closed box is 8 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 16.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)?
- 17.A fish tank is 60 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 18.A box is 16 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 19.A box is 18 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 20.A closed box is 20 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 21.A box is 6 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 22.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A closed box is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 24.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 25.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 4 cm?
- 26.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)?
- 27.A fish tank is 40 cm long, 100 cm wide and 80 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 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 30.A fish tank is 90 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A box is 9 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 32.A closed box is 3 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 33.A box is 11 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 34.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 12 cm?
- 36.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
- 37.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)?
- 38.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 9 cm?
- 40.A fish tank is 80 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 240
- 114
- 342
- 1000
- 36
- 528
- 399
- 2805
- 550
- 440
- 190
- 240
- 80
- 658
- 340
- 2772
- 216
- 160
- 1620
- 212
- 144
- 1232
- 136
- 54
- 36
- 5544
- 320
- 836
- 1728
- 810
- 972
- 294
- 880
- 2464
- 60
- 27
- 462
- 880
- 72
- 160
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