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 box is 16 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 2.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 3.A closed box is 16 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 4.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 5.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 4 cm?
- 6.A box is 5 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 7.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 8.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)
- 9.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 15 cm?
- 10.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 18 cm × 6 cm?
- 11.A fish tank is 30 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A box is 6 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 13.A box is 9 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 14.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 15.A box is 11 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 16.A closed box is 13 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 17.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 4 cm?
- 18.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.A box is 13 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 21.A box is 14 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 22.A fish tank is 110 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 9 cm?
- 24.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 20 cm?
- 25.A closed box is 3 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 26.A fish tank is 60 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A closed box is 19 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 29.A fish tank is 110 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 31.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)?
- 32.A closed box is 10 cm long, 15 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 33.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 34.A closed box is 7 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 36.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)?
- 37.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A fish tank is 70 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.A fish tank is 40 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 160
- 3375
- 1000
- 1000
- 50
- 110
- 1728
- 192
- 75
- 60
- 30
- 36
- 270
- 2744
- 231
- 382
- 20
- 1496
- 2926
- 286
- 294
- 550
- 30
- 100
- 136
- 168
- 1584
- 1318
- 770
- 1232
- 18018
- 550
- 600
- 342
- 8
- 2772
- 9856
- 420
- 160
- 264
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