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 19 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 2.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 12 cm?
- 3.A box is 12 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 4.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 4 cm?
- 5.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)?
- 6.A box is 7 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 7.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)?
- 8.A fish tank is 30 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A box is 20 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 10.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 11.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 9 cm?
- 12.A box is 11 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 13.A closed box is 4 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 14.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 15.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 16.A closed box is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 17.A box is 11 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 18.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 19.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 16 cm?
- 20.A closed box is 16 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 21.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)?
- 22.A closed box is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 23.A box is 6 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 24.A fish tank is 30 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A fish tank is 70 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 6 cm?
- 28.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 18 cm?
- 29.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)?
- 30.A closed box is 19 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 31.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A closed box is 15 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 33.A closed box is 7 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 34.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 12 cm?
- 36.A box is 15 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 37.A closed box is 18 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 38.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A box is 3 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 40.A box is 19 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
Answer key
- 1018
- 180
- 600
- 50
- 660
- 28
- 616
- 60
- 360
- 1331
- 48
- 154
- 172
- 8
- 27
- 328
- 330
- 864
- 40
- 976
- 2464
- 160
- 192
- 135
- 24
- 315
- 36
- 72
- 2926
- 670
- 24948
- 590
- 386
- 64
- 72
- 990
- 232
- 176
- 330
- 1463
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