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 12 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 2.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.A box is 16 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 4.A closed box is 14 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 5.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A closed box is 19 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 7.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)?
- 8.A box is 3 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 9.A box is 19 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 10.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 11.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 30 cm?
- 12.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 25 cm?
- 14.A fish tank is 90 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 16.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)?
- 17.A box is 20 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 18.A fish tank is 80 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic 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.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 20 cm?
- 21.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 22.A fish tank is 110 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A closed box is 13 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 24.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 12 cm?
- 25.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 26.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 27.A closed box is 8 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 28.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)?
- 29.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)?
- 30.A box is 9 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 31.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 33.A closed box is 3 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.A box is 13 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 35.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 10 cm?
- 36.A closed box is 20 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 37.A fish tank is 70 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A closed box is 7 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 39.A closed box is 13 cm long, 15 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 40.A fish tank is 90 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 540
- 220
- 384
- 826
- 11088
- 286
- 352
- 36
- 152
- 1386
- 120
- 132
- 60
- 180
- 216
- 1232
- 2160
- 320
- 792
- 150
- 64
- 198
- 422
- 96
- 704
- 729
- 192
- 704
- 88
- 216
- 352
- 600
- 66
- 390
- 100
- 656
- 210
- 474
- 1062
- 378
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