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 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 2.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.A box is 4 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 4.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 30 cm?
- 5.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 7.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
- 8.A closed box is 19 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
- 10.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 12.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 13.A closed box is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 14.A box is 11 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 15.A fish tank is 100 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 17.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
- 19.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 20.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 20 cm?
- 21.A fish tank is 70 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.A closed box is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 23.A closed box is 3 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 24.A box is 20 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 25.A box is 20 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 26.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 30 cm?
- 27.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A closed box is 7 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 29.A fish tank is 50 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A fish tank is 40 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 33.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 34.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 18 cm?
- 36.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A closed box is 18 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 39.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 40.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 220
- 1144
- 144
- 180
- 616
- 792
- 12
- 612
- 60
- 440
- 54
- 4158
- 318
- 539
- 160
- 125
- 880
- 24
- 512
- 100
- 315
- 474
- 126
- 200
- 2420
- 72
- 120
- 510
- 90
- 108
- 112
- 195
- 16632
- 968
- 180
- 1848
- 888
- 2744
- 1144
- 176
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