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 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 2.A fish tank is 90 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.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)?
- 4.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 8 cm?
- 5.A box is 16 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 6.A fish tank is 30 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
- 9.A box is 14 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 10.A fish tank is 50 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 11.A closed box is 15 cm long, 9 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 12.A closed box is 13 cm long, 6 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 13.A fish tank is 80 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 14.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 16.A fish tank is 50 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A closed box is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 18.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)?
- 19.A fish tank is 30 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 21.A closed box is 18 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 22.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 23.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.A fish tank is 40 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.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)?
- 26.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 6 cm?
- 27.A box is 7 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 28.A closed box is 4 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 29.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 30.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 31.A fish tank is 120 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.A closed box is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 33.A box is 19 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 34.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
- 35.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A closed box is 16 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 38.A box is 16 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 39.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 40.A box is 18 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
Answer key
- 94
- 315
- 2618
- 48
- 1440
- 120
- 462
- 48
- 672
- 400
- 606
- 612
- 480
- 396
- 1331
- 100
- 462
- 19404
- 60
- 2744
- 318
- 23562
- 88
- 72
- 440
- 20
- 252
- 418
- 864
- 2197
- 252
- 230
- 855
- 120
- 1694
- 9856
- 1054
- 1568
- 176
- 324
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