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 5 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 2.A closed box is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 3.A fish tank is 80 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 5.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 25 cm?
- 6.A box is 11 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 7.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 8.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 9.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)?
- 10.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 15 cm?
- 11.A box is 15 cm long, 6 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 12.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)?
- 13.A fish tank is 100 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 cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 15.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
- 16.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 17.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 18.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 21.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 18 cm?
- 22.A closed box is 5 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 23.A box is 13 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 24.A closed box is 6 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 25.A fish tank is 50 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 27.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)?
- 28.A closed box is 17 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 29.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
- 31.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 32.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 33.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
- 34.A box is 15 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 35.A fish tank is 80 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 36.A fish tank is 110 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A closed box is 5 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 38.A fish tank is 40 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 16 cm?
- 40.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
Answer key
- 202
- 228
- 64
- 125
- 75
- 660
- 24
- 440
- 1056
- 90
- 540
- 352
- 800
- 1014
- 8
- 264
- 864
- 44
- 264
- 216
- 144
- 132
- 728
- 378
- 315
- 880
- 1540
- 988
- 220
- 30
- 1331
- 54
- 384
- 1320
- 448
- 330
- 202
- 288
- 80
- 96
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