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, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 2.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)?
- 3.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 4.A fish tank is 90 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 7.A fish tank is 50 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A closed box is 20 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 10.A closed box is 7 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 11.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)?
- 12.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 13.A box is 14 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 14.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 4 cm?
- 15.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 9 cm?
- 16.A closed box is 4 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 17.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)?
- 18.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 20.A box is 16 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 21.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 22.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 23.A closed box is 18 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 24.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 25.A closed box is 6 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 26.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 15 cm?
- 27.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 9 cm?
- 28.A fish tank is 50 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.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)?
- 30.A closed box is 9 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 31.A fish tank is 50 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 closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 33.A fish tank is 60 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 34.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 20 cm?
- 36.A box is 5 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 37.A closed box is 7 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 38.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A box is 19 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 40.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)?
Answer key
- 840
- 462
- 2156
- 648
- 440
- 1056
- 90
- 500
- 54
- 434
- 23562
- 512
- 1232
- 36
- 45
- 342
- 968
- 2772
- 1331
- 384
- 1000
- 729
- 1002
- 352
- 168
- 12
- 54
- 180
- 2772
- 446
- 50
- 160
- 120
- 294
- 75
- 125
- 262
- 396
- 342
- 9240
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