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 cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 2.A fish tank is 50 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 3.A fish tank is 90 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 4.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 6.A closed box is 10 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 7.A box is 13 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 8.A closed box is 7 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 9.A fish tank is 50 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 10.A box is 3 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 11.A box is 5 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 12.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 13.A closed box is 9 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 14.A box is 6 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 15.A box is 13 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 16.A closed box is 4 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 17.A box is 20 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 18.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A box is 15 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 20.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 21.A closed box is 20 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 22.A fish tank is 80 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 23.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)?
- 24.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 8 cm?
- 25.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 25 cm?
- 26.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 27.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 28.A fish tank is 50 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 6 cm × 6 cm?
- 30.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 12 cm?
- 31.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 32.A fish tank is 80 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 34.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)?
- 35.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 36.A fish tank is 120 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A box is 15 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 38.A box is 4 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 39.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 6 cm?
- 40.A box is 9 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
Answer key
- 2744
- 140
- 243
- 3080
- 864
- 850
- 364
- 190
- 270
- 288
- 30
- 1331
- 484
- 168
- 520
- 188
- 400
- 264
- 450
- 294
- 992
- 512
- 660
- 24
- 40
- 27
- 24
- 60
- 24
- 32
- 528
- 64
- 2464
- 924
- 96
- 168
- 630
- 384
- 72
- 243
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