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 closed box is 5 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 2.A fish tank is 60 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A fish tank is 120 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.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)
- 5.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A closed box is 16 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 7.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A box is 14 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 9.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)?
- 10.A closed box is 13 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 11.A fish tank is 120 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.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)?
- 13.A closed box is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 14.A box is 8 cm long, 15 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 15.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 16.A closed box is 10 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 17.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 12 cm?
- 18.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A box is 19 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 20.A box is 4 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 21.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 23.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 25.A box is 10 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 26.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 30 cm?
- 27.A closed box is 5 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 28.A box is 8 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 29.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.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)?
- 31.A closed box is 3 cm long, 11 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 32.A fish tank is 60 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 34.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 24 cm?
- 36.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)?
- 37.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A box is 8 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 39.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 16 cm?
- 40.A box is 8 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
Answer key
- 210
- 54
- 384
- 105
- 3696
- 728
- 22176
- 420
- 19404
- 172
- 840
- 2772
- 292
- 1440
- 125
- 344
- 90
- 1540
- 2299
- 100
- 10472
- 64
- 880
- 729
- 240
- 120
- 206
- 616
- 616
- 528
- 234
- 192
- 4312
- 1014
- 144
- 2464
- 2002
- 432
- 120
- 384
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