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 10 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 2.A box is 4 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 3.A box is 5 cm long, 4 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 4.A fish tank is 60 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 6.A closed box is 16 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 12 cm?
- 8.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)?
- 9.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 10.A closed box is 9 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 11.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 12.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 13.A box is 3 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 14.A fish tank is 90 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A box is 17 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 16.A closed box is 14 cm long, 14 cm wide and 3 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 20 cm × 20 cm × 20 cm?
- 18.A fish tank is 40 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A closed box is 9 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 20.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 8 cm?
- 21.A fish tank is 30 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.A closed box is 15 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 23.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 24.A fish tank is 30 cm long, 80 cm wide and 20 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 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 26.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 9 cm?
- 27.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 28.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 10 cm?
- 29.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 30.A fish tank is 30 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 33.A fish tank is 90 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 34.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)?
- 35.A fish tank is 120 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 36.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)?
- 37.A closed box is 13 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 38.A box is 3 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic 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 box is 8 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
Answer key
- 450
- 440
- 220
- 120
- 1350
- 1056
- 36
- 176
- 2197
- 478
- 352
- 150
- 99
- 108
- 357
- 560
- 125
- 192
- 202
- 24
- 216
- 942
- 1000
- 48
- 13860
- 12
- 12
- 50
- 24
- 24
- 16632
- 729
- 144
- 1672
- 144
- 10472
- 112
- 12
- 462
- 648
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