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 6 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 2.A box is 13 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 3.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 4.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
- 5.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A box is 15 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 7.A closed box is 5 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 8.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A closed box is 10 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 10.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 12.A fish tank is 110 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A box is 13 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 14.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 15.A box is 17 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 16.A box is 3 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 17.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 24 cm?
- 18.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.A box is 11 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 10 cm?
- 22.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 23.A closed box is 7 cm long, 7 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 24.A fish tank is 30 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
- 26.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
- 27.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 29.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 30.A box is 12 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 31.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 32.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 12 cm?
- 33.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 24 cm?
- 34.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)?
- 35.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 36.A box is 10 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 37.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 40.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 6 cm?
Answer key
- 288
- 390
- 24
- 30
- 16632
- 840
- 158
- 2156
- 400
- 968
- 352
- 352
- 325
- 729
- 408
- 135
- 180
- 1144
- 495
- 572
- 24
- 1408
- 406
- 48
- 20790
- 11088
- 748
- 864
- 3375
- 660
- 216
- 18
- 60
- 13860
- 27
- 990
- 4928
- 528
- 125
- 75
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