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 100 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A box is 7 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 3.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 4.A closed box is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 5.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A fish tank is 60 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A closed box is 16 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 8.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 9.A fish tank is 70 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A closed box is 17 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 11.A closed box is 10 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 12.A closed box is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 13.A box is 14 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 14.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)?
- 15.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 16.A fish tank is 90 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 18.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 30 cm?
- 19.A box is 4 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 20.A closed box is 13 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 21.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A fish tank is 30 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A closed box is 3 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 25.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
- 26.A box is 17 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 27.A closed box is 16 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 28.A closed box is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 29.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 30.A closed box is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 31.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 30 cm?
- 32.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 33.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)?
- 34.A fish tank is 60 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A box is 17 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 36.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 9 cm?
- 37.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 39.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 12 cm?
- 40.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 24 cm?
Answer key
- 150
- 84
- 572
- 436
- 528
- 144
- 248
- 216
- 140
- 422
- 520
- 168
- 882
- 1540
- 27
- 189
- 150
- 108
- 88
- 366
- 27720
- 23562
- 72
- 192
- 30
- 680
- 1112
- 536
- 384
- 246
- 60
- 125
- 528
- 540
- 204
- 72
- 8008
- 7392
- 144
- 144
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