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 12 cm. What is its volume (in cubic cm)?
- 2.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 3.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)?
- 4.A fish tank is 110 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 5.A box is 16 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 6.A fish tank is 100 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A box is 9 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 8.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 9.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 10.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A fish tank is 100 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A closed box is 3 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 13.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 14.A box is 10 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 15.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 16.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 9 cm?
- 17.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 18.A closed box is 16 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 19.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)?
- 20.A closed box is 20 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 21.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.A closed box is 7 cm long, 8 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 23.A box is 5 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 24.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
- 25.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)?
- 26.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 10 cm?
- 27.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 8 cm?
- 28.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 29.A closed box is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 30.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 31.A fish tank is 110 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.A fish tank is 30 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A box is 11 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 34.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 36.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A fish tank is 110 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A closed box is 17 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 39.A closed box is 5 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 40.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 10 cm?
Answer key
- 1728
- 54
- 308
- 264
- 1344
- 60
- 891
- 1176
- 216
- 792
- 240
- 366
- 528
- 480
- 5544
- 36
- 27
- 514
- 572
- 388
- 3696
- 352
- 495
- 150
- 220
- 180
- 48
- 64
- 346
- 88
- 550
- 168
- 198
- 96
- 12
- 2772
- 330
- 826
- 146
- 20
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