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 fish tank is 90 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A fish tank is 90 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A fish tank is 50 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A box is 5 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 5.A fish tank is 40 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A fish tank is 40 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A fish tank is 60 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
- 9.A box is 15 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 10.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 11.A closed box is 18 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 12.A closed box is 18 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 13.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 16 cm?
- 14.A pipe (a cylinder) has a radius of 8 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 cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 17.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 18.A fish tank is 90 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 20.A box is 11 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 21.A fish tank is 60 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.A fish tank is 110 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A fish tank is 60 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 25.A box is 16 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 26.A closed box is 16 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 27.A closed box is 7 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 28.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 29.A closed box is 18 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 30.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 15 cm?
- 31.A box is 14 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 32.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 33.A closed box is 9 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.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)?
- 35.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 36.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 38.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 12 cm?
- 39.A box is 12 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 630
- 162
- 90
- 150
- 48
- 144
- 420
- 8
- 720
- 8
- 432
- 234
- 80
- 352
- 1331
- 18018
- 64
- 576
- 294
- 165
- 96
- 297
- 378
- 1232
- 720
- 286
- 190
- 924
- 312
- 40
- 280
- 176
- 384
- 9240
- 1056
- 1540
- 1176
- 24
- 1092
- 1408
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