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).
NameDateTime takenScore ___ / 40
- 1.A closed box is 15 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 2.A closed box is 13 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 3.A box is 19 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 4.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)?
- 5.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A closed box is 17 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 7.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 8.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)?
- 9.A closed box is 4 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 10.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 11.A fish tank is 80 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A box is 19 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 13.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 12 cm?
- 14.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 18 cm?
- 15.A box is 16 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 16.A box is 12 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 17.A fish tank is 70 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 18.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)?
- 19.A pipe (a cylinder) has a radius of 10 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 9 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 21.A closed box is 18 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 22.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 23.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)?
- 24.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 25.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
- 26.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
- 27.A closed box is 4 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 28.A box is 4 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 29.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
- 30.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)?
- 31.A fish tank is 30 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 32.A closed box is 6 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 33.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.A box is 3 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 35.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
- 36.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 12 cm?
- 38.A closed box is 9 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 39.A box is 17 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 40.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
Answer key
- 502
- 490
- 1482
- 5544
- 484
- 422
- 2197
- 2772
- 328
- 1694
- 192
- 2926
- 60
- 108
- 1680
- 396
- 63
- 2926
- 440
- 606
- 756
- 216
- 24948
- 1176
- 54
- 726
- 148
- 144
- 30
- 704
- 63
- 368
- 176
- 12
- 32
- 1848
- 108
- 630
- 1360
- 8
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