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 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)?
- 2.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)
- 3.A fish tank is 30 cm long, 50 cm wide and 90 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 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
- 6.A fish tank is 60 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 8.A closed box is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 9.A box is 15 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 10.A box is 16 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 11.A closed box is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 12.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 13.A closed box is 20 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 14.A fish tank is 120 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 16.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 16 cm?
- 17.A box is 3 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 18.A closed box is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 19.A closed box is 7 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 20.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)?
- 21.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)?
- 22.A box is 16 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 23.A box is 16 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 24.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)?
- 25.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
- 27.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A fish tank is 110 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A fish tank is 30 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
- 31.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 33.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A fish tank is 100 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.A closed box is 10 cm long, 8 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 36.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)?
- 37.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 8 cm?
- 38.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
- 40.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 1584
- 120
- 135
- 125
- 24
- 120
- 1350
- 206
- 945
- 1872
- 482
- 2197
- 400
- 420
- 572
- 32
- 294
- 184
- 472
- 2926
- 704
- 256
- 96
- 264
- 324
- 27
- 32
- 132
- 81
- 512
- 240
- 1176
- 616
- 640
- 412
- 440
- 20
- 704
- 13860
- 616
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