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 19 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 2.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)?
- 3.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 4.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 6.A fish tank is 90 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A fish tank is 100 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 9.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A closed box is 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 11.A box is 5 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 12.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 8 cm?
- 13.A fish tank is 60 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 14.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.A closed box is 3 cm long, 15 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 16.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 24 cm?
- 17.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 18.A fish tank is 100 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A box is 16 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 20.A fish tank is 30 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 21.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 22.A closed box is 7 cm long, 10 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 23.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)?
- 24.A closed box is 19 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 25.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 20 cm?
- 26.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 27.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 28.A box is 7 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 29.A box is 19 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 30.A fish tank is 40 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A box is 16 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 32.A box is 15 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 33.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)?
- 34.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 35.A box is 10 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 36.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)?
- 37.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.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)?
- 39.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 40.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
Answer key
- 574
- 352
- 880
- 24948
- 64
- 135
- 1000
- 195
- 120
- 266
- 250
- 72
- 480
- 19404
- 414
- 36
- 3375
- 270
- 384
- 216
- 308
- 514
- 5544
- 1014
- 60
- 1584
- 864
- 224
- 1330
- 224
- 640
- 240
- 1144
- 1014
- 120
- 1056
- 1232
- 18018
- 1000
- 125
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