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.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
- 2.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
- 5.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
- 7.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 18 cm?
- 8.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)?
- 9.A fish tank is 120 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A box is 3 cm long, 9 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 11.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)?
- 12.A closed box is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 13.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)?
- 14.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 15.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 16.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 17.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
- 18.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 19.A closed box is 4 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 20.A box is 19 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 21.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
- 22.A box is 3 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 23.A closed box is 5 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 24.A box is 15 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 25.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
- 26.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)?
- 27.A closed box is 14 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 28.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 29.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 18 cm?
- 30.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)?
- 31.A box is 14 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 32.A fish tank is 100 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
- 34.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 35.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 36.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 37.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
- 38.A box is 15 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 39.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)
- 40.A box is 16 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
Answer key
- 12
- 968
- 308
- 90
- 1540
- 108
- 108
- 616
- 720
- 297
- 132
- 342
- 16632
- 1331
- 6160
- 96
- 36
- 216
- 150
- 2280
- 486
- 18
- 596
- 975
- 24
- 1672
- 742
- 24
- 150
- 1848
- 168
- 810
- 8
- 2464
- 484
- 220
- 24
- 1050
- 315
- 704
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