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 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)?
- 2.A closed box is 11 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 3.A fish tank is 80 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 4 cm?
- 5.A closed box is 6 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 6.A fish tank is 40 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A closed box is 19 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 8.A box is 4 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 9.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 11.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 12.A fish tank is 40 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 14.A closed box is 20 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 15.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)?
- 16.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.A fish tank is 100 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 18.A box is 14 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 19.A fish tank is 30 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 10 cm?
- 21.A box is 12 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 22.A fish tank is 70 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 8 cm?
- 24.A closed box is 17 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 25.A closed box is 3 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 26.A fish tank is 40 cm long, 40 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 110 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.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)?
- 29.A closed box is 9 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 30.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 31.A box is 12 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 32.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 33.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)?
- 34.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 4 cm?
- 36.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 37.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 38.A closed box is 11 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 39.A box is 19 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 40.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)?
Answer key
- 88
- 540
- 648
- 48
- 378
- 180
- 1200
- 108
- 264
- 384
- 726
- 40
- 8316
- 820
- 8008
- 440
- 200
- 896
- 126
- 40
- 792
- 224
- 30
- 182
- 164
- 80
- 154
- 1232
- 398
- 512
- 1296
- 24948
- 704
- 440
- 60
- 1014
- 486
- 252
- 190
- 264
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