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 8 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 2.A closed box is 18 cm long, 15 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 3.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A cube has an edge of 10 cm. What is its total surface area (in sq 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.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?
- 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 4 cm?
- 8.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)?
- 9.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 10.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)?
- 11.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 30 cm?
- 12.A closed box is 8 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 13.A box is 8 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 14.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 15.A fish tank is 60 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.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)?
- 17.A closed box is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 18.A closed box is 7 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 19.A fish tank is 30 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.A box is 9 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 21.A box is 9 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 22.A box is 17 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 23.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.A box is 13 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 25.A fish tank is 70 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A fish tank is 110 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A fish tank is 80 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A closed box is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 29.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 31.A fish tank is 70 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.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)?
- 33.A closed box is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 34.A fish tank is 50 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 36.A fish tank is 120 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
- 38.A closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 39.A box is 6 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 40.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 152
- 1134
- 8624
- 600
- 616
- 80
- 20
- 2772
- 9702
- 1144
- 72
- 562
- 616
- 216
- 216
- 616
- 342
- 448
- 81
- 216
- 180
- 510
- 484
- 1690
- 392
- 66
- 320
- 712
- 10472
- 1350
- 70
- 484
- 166
- 135
- 8
- 288
- 1728
- 160
- 300
- 12320
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