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, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 2.A closed box is 19 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 3.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 10 cm?
- 4.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 5.A box is 12 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 6.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 7.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 8.A fish tank is 40 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 10.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 12.A fish tank is 80 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A fish tank is 100 cm long, 70 cm wide and 20 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.A fish tank is 40 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic 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 box is 10 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 18.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 19.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 20.A closed box is 3 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 21.A closed box is 3 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 22.A closed box is 4 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 23.A box is 17 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 24.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)
- 25.A box is 15 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 26.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 27.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 29.A box is 12 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 30.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 8 cm?
- 31.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A box is 20 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 33.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 34.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)
- 35.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
- 36.A fish tank is 120 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 37.A fish tank is 30 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 15 cm?
- 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 144
- 952
- 90
- 3375
- 72
- 4158
- 2772
- 280
- 704
- 1760
- 343
- 224
- 140
- 1014
- 56
- 264
- 210
- 22176
- 4312
- 320
- 190
- 256
- 255
- 448
- 990
- 616
- 528
- 836
- 312
- 72
- 770
- 1260
- 150
- 330
- 50
- 144
- 108
- 90
- 125
- 880
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