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 box is 19 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 2.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 8 cm?
- 3.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)?
- 4.A closed box is 18 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 5.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
- 7.A box is 6 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 8.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 4 cm?
- 10.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.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)?
- 12.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 30 cm?
- 13.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)?
- 14.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 15 cm?
- 15.A closed box is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 16.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
- 17.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
- 18.A closed box is 14 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 19.A box is 15 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 20.A box is 12 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 21.A closed box is 5 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 22.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 15 cm?
- 23.A closed box is 8 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 24.A box is 6 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 25.A closed box is 4 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 26.A fish tank is 120 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A fish tank is 90 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 28.A closed box is 8 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 29.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 30.A closed box is 10 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 31.A closed box is 10 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 32.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)?
- 33.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 34.A fish tank is 70 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 20 cm?
- 36.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A box is 8 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 38.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A box is 18 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 40.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?
Answer key
- 342
- 18
- 88
- 696
- 1386
- 12474
- 144
- 396
- 12
- 1056
- 20790
- 24
- 484
- 30
- 328
- 1232
- 10472
- 364
- 900
- 312
- 398
- 30
- 544
- 240
- 94
- 180
- 90
- 460
- 264
- 430
- 680
- 2464
- 216
- 252
- 32
- 9856
- 1152
- 264
- 288
- 80
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