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 fish tank is 60 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A box is 16 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 3.A cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 10 cm?
- 5.A box is 20 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 6.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 7.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 8.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?
- 9.A box is 13 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 10.A closed box is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 11.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 12.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 13.A box is 8 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 14.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.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)?
- 16.A fish tank is 30 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 24 cm?
- 18.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 8 cm?
- 19.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.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)?
- 22.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A box is 17 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 24.A closed box is 17 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 25.A box is 3 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 26.A closed box is 18 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 27.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 28.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 29.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A closed box is 8 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 31.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 32.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 10 cm?
- 33.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 12 cm?
- 34.A fish tank is 30 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A box is 10 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 30 cm?
- 37.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
- 39.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
Answer key
- 192
- 1920
- 1848
- 60
- 3360
- 1728
- 150
- 50
- 312
- 112
- 19404
- 1331
- 720
- 660
- 1386
- 60
- 108
- 40
- 13860
- 1144
- 924
- 2618
- 2618
- 296
- 108
- 320
- 3375
- 486
- 8624
- 552
- 96
- 75
- 48
- 18
- 180
- 120
- 8316
- 24
- 6160
- 576
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