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 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 2.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.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)?
- 4.A closed box is 11 cm long, 6 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 5.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 6.A box is 3 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 7.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.A box is 6 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 9.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 10.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 9 cm?
- 11.A box is 4 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 12.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
- 13.A box is 18 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 14.A fish tank is 110 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A fish tank is 30 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A fish tank is 60 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.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)?
- 18.A fish tank is 70 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A box is 3 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.A closed box is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 22.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 23.A box is 12 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 24.A closed box is 11 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 25.A fish tank is 60 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A fish tank is 90 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 30 cm?
- 28.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 29.A box is 19 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 30.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)?
- 31.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)?
- 32.A box is 5 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 33.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A closed box is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 18 cm?
- 36.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 37.A fish tank is 80 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A fish tank is 90 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.A box is 9 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 40.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)?
Answer key
- 136
- 528
- 792
- 472
- 1331
- 390
- 836
- 126
- 125
- 90
- 60
- 8
- 252
- 198
- 150
- 540
- 4928
- 336
- 75
- 264
- 206
- 216
- 672
- 334
- 144
- 378
- 108
- 3696
- 950
- 264
- 6930
- 420
- 704
- 82
- 60
- 726
- 384
- 162
- 126
- 1078
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