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 70 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A box is 13 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 3.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 4.A closed box is 16 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 5.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 12 cm?
- 7.A box is 7 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 8.A closed box is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 9.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 10 cm?
- 10.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
- 11.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 12.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 13.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 14.A fish tank is 120 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A fish tank is 80 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 16.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 10 cm?
- 17.A closed box is 17 cm long, 15 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 18.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
- 19.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.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)?
- 21.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)?
- 22.A fish tank is 80 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.A closed box is 5 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 24.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 8 cm?
- 25.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)?
- 26.A fish tank is 50 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 10 cm?
- 28.A box is 9 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 29.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 30.A closed box is 14 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 31.A box is 4 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 32.A box is 14 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 33.A box is 15 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 34.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 35.A closed box is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 36.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 8 cm?
- 37.A closed box is 18 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 38.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 12 cm?
- 39.A closed box is 12 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 40.A box is 4 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
Answer key
- 168
- 1053
- 864
- 496
- 20790
- 48
- 336
- 124
- 24
- 40
- 1176
- 729
- 220
- 48
- 112
- 20
- 1150
- 24
- 572
- 308
- 1144
- 320
- 310
- 18
- 440
- 75
- 40
- 1350
- 726
- 152
- 264
- 252
- 300
- 2926
- 318
- 48
- 570
- 72
- 460
- 88
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