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).
NameDateTime takenScore ___ / 40
- 1.A box is 6 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 2.A fish tank is 90 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A closed box is 7 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 4.A fish tank is 80 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A closed box is 19 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 6.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 7.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 4 cm?
- 9.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 10.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 11.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 13.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)
- 14.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 12 cm?
- 15.A box is 3 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 16.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 17.A box is 12 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 18.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 4 cm?
- 19.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 20.A box is 15 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 21.A cylinder has a radius of 21 cm and a height of 13 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 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 6 cm?
- 24.A closed box is 8 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 25.A closed box is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 26.A box is 10 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 27.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A fish tank is 100 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A box is 5 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 30.A closed box is 10 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 31.A closed box is 15 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 32.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 33.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 10 cm?
- 34.A fish tank is 30 cm long, 70 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 12 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 36.A closed box is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 37.A fish tank is 30 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
- 39.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 180
- 486
- 262
- 240
- 510
- 3080
- 264
- 16
- 4928
- 54
- 72
- 1408
- 162
- 60
- 84
- 343
- 1452
- 60
- 8
- 750
- 18018
- 2772
- 32
- 304
- 184
- 270
- 1672
- 350
- 75
- 600
- 390
- 726
- 180
- 210
- 420
- 358
- 72
- 50
- 462
- 44
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