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 box is 8 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 2.A closed box is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 3.A closed box is 12 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 4.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 5.A box is 8 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 6.A closed box is 5 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 7.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 8.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
- 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 12 cm?
- 10.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)?
- 11.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 20 cm?
- 12.A closed box is 16 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 13.A closed box is 19 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 14.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)?
- 15.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 16.A box is 17 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 17.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)?
- 18.A closed box is 12 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 19.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.A closed box is 8 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 21.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 22.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)?
- 23.A box is 4 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 24.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 25.A fish tank is 60 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.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)?
- 27.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 28.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
- 29.A closed box is 20 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 30.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 31.A closed box is 13 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 32.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)?
- 33.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 34.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 15 cm?
- 35.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)?
- 36.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 37.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 38.A fish tank is 90 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 39.A fish tank is 50 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.A closed box is 18 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
Answer key
- 336
- 324
- 188
- 600
- 616
- 526
- 294
- 1331
- 72
- 704
- 40
- 362
- 1060
- 1232
- 216
- 765
- 13860
- 412
- 440
- 272
- 2002
- 352
- 64
- 1000
- 126
- 2156
- 924
- 96
- 1048
- 1232
- 628
- 10472
- 264
- 36
- 484
- 8624
- 1496
- 360
- 120
- 444
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude