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, 9 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 2.A box is 16 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 3.A closed box is 11 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 4.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)?
- 5.A box is 17 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 6.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 9.A fish tank is 60 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 6 cm?
- 11.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 30 cm?
- 12.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
- 13.A box is 3 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 14.A box is 4 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 15.A box is 13 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 16.A closed box is 9 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 17.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)?
- 18.A fish tank is 90 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A box is 4 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 20.A closed box is 3 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 21.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 22.A fish tank is 30 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A closed box is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 24.A fish tank is 120 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 26.A fish tank is 90 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 28.A closed box is 14 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 29.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A box is 18 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 31.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 8 cm?
- 32.A box is 17 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 33.A box is 15 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 34.A closed box is 15 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 10 cm?
- 36.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 38.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 40.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 990
- 384
- 290
- 176
- 272
- 105
- 2926
- 27
- 162
- 18
- 36
- 24
- 72
- 220
- 936
- 126
- 88
- 648
- 672
- 150
- 1496
- 270
- 92
- 480
- 26334
- 216
- 1000
- 574
- 440
- 504
- 8
- 1071
- 240
- 196
- 75
- 924
- 343
- 96
- 125
- 12474
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