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, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 2.A fish tank is 100 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.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)?
- 4.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 25 cm?
- 5.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
- 7.A box is 20 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 8.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 12 cm?
- 10.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A closed box is 10 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 12.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)?
- 13.A box is 15 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 14.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 15.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
- 16.A fish tank is 100 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A box is 6 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 18.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A closed box is 10 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 20.A closed box is 6 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 21.A fish tank is 70 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.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)?
- 23.A fish tank is 60 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A closed box is 7 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 25.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)?
- 26.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 27.A fish tank is 50 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A fish tank is 110 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 30.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 31.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A fish tank is 80 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A closed box is 20 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.A closed box is 8 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 35.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 12 cm?
- 37.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 10 cm?
- 38.A box is 14 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 39.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 40.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 112
- 240
- 44
- 90
- 176
- 8
- 360
- 1331
- 24
- 88
- 376
- 1672
- 90
- 1350
- 30
- 90
- 462
- 12474
- 636
- 504
- 441
- 8008
- 48
- 358
- 2926
- 8
- 160
- 440
- 125
- 6930
- 6776
- 216
- 448
- 366
- 22176
- 100
- 40
- 336
- 512
- 792
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