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 fish tank is 120 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.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)?
- 3.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 20 cm?
- 6.A box is 19 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 7.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
- 10.A box is 8 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 11.A box is 20 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 12.A fish tank is 60 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 8 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 14.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 10 cm?
- 16.A box is 20 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 17.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 18.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.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)?
- 20.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
- 21.A box is 9 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 22.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A closed box is 6 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 24.A box is 9 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 25.A box is 5 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 26.A closed box is 10 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 27.A box is 14 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 28.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)?
- 29.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
- 30.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)?
- 31.A box is 7 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 32.A fish tank is 30 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.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)?
- 34.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 6 cm?
- 36.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 38.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)?
- 39.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)?
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 96
- 1540
- 2464
- 9240
- 60
- 1368
- 528
- 729
- 24
- 288
- 160
- 480
- 518
- 11704
- 20
- 1800
- 54
- 2002
- 12474
- 24
- 270
- 19404
- 90
- 324
- 350
- 320
- 504
- 176
- 60
- 3696
- 42
- 144
- 1232
- 125
- 24
- 2618
- 3375
- 220
- 308
- 792
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