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 5 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 2.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 3.A fish tank is 110 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A box is 19 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 5.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 6.A fish tank is 30 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.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)?
- 8.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 9.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A closed box is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 11.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 12.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A box is 4 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 14.A closed box is 6 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 15.A box is 18 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 16.A closed box is 7 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 17.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 18.A box is 4 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 19.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 20.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 21.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 10 cm?
- 22.A box is 16 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 23.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)?
- 24.A closed box is 7 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 25.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 26.A fish tank is 120 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A fish tank is 120 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 15 cm?
- 29.A fish tank is 40 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A closed box is 8 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq 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, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 33.A box is 17 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 34.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
- 35.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 36.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 4 cm?
- 37.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 38.A fish tank is 100 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.A box is 20 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 40.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 20 cm?
Answer key
- 585
- 486
- 99
- 1520
- 54
- 84
- 4312
- 8
- 1232
- 258
- 512
- 64
- 336
- 432
- 1728
- 286
- 1078
- 64
- 64
- 12
- 90
- 448
- 352
- 320
- 1014
- 360
- 216
- 75
- 128
- 592
- 18018
- 208
- 68
- 12
- 704
- 24
- 132
- 120
- 1200
- 72
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