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 10 cm long, 3 cm wide and 8 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 box is 5 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 4.A closed box is 15 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 5.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 6.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 7.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 8.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.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)?
- 10.A closed box is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 11.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 18 cm × 18 cm?
- 12.A fish tank is 90 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 13 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 14.A fish tank is 60 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A closed box is 17 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 16.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)?
- 17.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 18.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A closed box is 5 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 20.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 21.A closed box is 5 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 22.A closed box is 5 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 23.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.A fish tank is 50 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 9 cm?
- 26.A closed box is 10 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 27.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 28.A box is 6 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 29.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 31.A box is 15 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 32.A fish tank is 80 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A closed box is 7 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 34.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 36.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 30 cm?
- 37.A box is 13 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 38.A closed box is 11 cm long, 9 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 39.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 40.A box is 5 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
Answer key
- 240
- 462
- 100
- 576
- 1176
- 726
- 512
- 240
- 176
- 318
- 180
- 189
- 462
- 288
- 144
- 352
- 3375
- 660
- 426
- 864
- 190
- 340
- 1320
- 40
- 27
- 424
- 5544
- 936
- 352
- 11088
- 240
- 48
- 320
- 1350
- 216
- 150
- 1092
- 478
- 1014
- 450
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