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 closed box is 11 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 2.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 10 cm?
- 3.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 8 cm?
- 4.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 5.A fish tank is 40 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 6.A box is 9 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 7.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.A closed box is 17 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 9.A box is 15 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 10.A fish tank is 80 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 11.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
- 12.A fish tank is 110 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 11 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 14.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.A closed box is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 16.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)?
- 17.A closed box is 20 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 18.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 19.A fish tank is 70 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.A closed box is 9 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 22.A box is 12 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 23.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 30 cm × 15 cm?
- 24.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 25.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
- 26.A closed box is 14 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 27.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 28.A box is 5 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 29.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 30.A closed box is 14 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 31.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 4 cm?
- 32.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 33.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 34.A closed box is 15 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 35.A closed box is 17 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 10 cm?
- 37.A box is 6 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 38.A closed box is 5 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 39.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
- 40.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
Answer key
- 268
- 12
- 36
- 132
- 48
- 567
- 352
- 990
- 540
- 192
- 24
- 660
- 862
- 968
- 514
- 572
- 450
- 1000
- 196
- 792
- 378
- 1560
- 108
- 343
- 1014
- 596
- 8
- 200
- 12
- 458
- 24
- 352
- 726
- 470
- 574
- 24
- 288
- 340
- 24
- 486
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