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 box is 5 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 2.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 30 cm?
- 3.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A box is 4 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 5.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 6.A fish tank is 110 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A box is 16 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 8.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 9.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
- 11.A closed box is 18 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 12.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 13.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 14.A closed box is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 15.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 16.A fish tank is 110 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 18.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 10 cm?
- 19.A closed box is 19 cm long, 14 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 20.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 21.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.A closed box is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 23.A fish tank is 110 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A box is 6 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 25.A closed box is 7 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 26.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)?
- 27.A box is 8 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 28.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.A closed box is 11 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 30.A fish tank is 60 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A closed box is 11 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 32.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)?
- 33.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)?
- 34.A closed box is 19 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 36.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 37.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)?
- 38.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 39.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)?
- 40.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)?
Answer key
- 50
- 90
- 770
- 24
- 1000
- 462
- 832
- 384
- 1496
- 24
- 756
- 2772
- 64
- 174
- 6776
- 264
- 512
- 40
- 1192
- 729
- 5544
- 228
- 616
- 330
- 562
- 2464
- 144
- 748
- 462
- 72
- 434
- 1144
- 176
- 1014
- 343
- 1331
- 1848
- 616
- 3696
- 968
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