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 pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 2.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 8 cm?
- 3.A box is 17 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 4.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)?
- 5.A box is 7 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 6.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 6 cm?
- 7.A closed box is 17 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 8.A box is 7 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 9.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 15 cm?
- 10.A closed box is 19 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 11.A box is 6 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 12.A fish tank is 110 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 9 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 14.A fish tank is 90 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A box is 7 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 16.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)?
- 17.A fish tank is 60 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 18.A closed box is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 19.A box is 20 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 20.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.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)?
- 22.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 24 cm × 16 cm?
- 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 16 cm?
- 24.A fish tank is 120 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A fish tank is 120 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A box is 10 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 27.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 28.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)?
- 29.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 6 cm?
- 30.A box is 16 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
- 31.A closed box is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 32.A box is 4 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 33.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 34.A closed box is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 35.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 36.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)?
- 37.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)?
- 38.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 15 cm?
- 39.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 40.A closed box is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
Answer key
- 1232
- 24
- 1870
- 396
- 385
- 30
- 582
- 756
- 36
- 526
- 192
- 44
- 678
- 54
- 84
- 1408
- 48
- 414
- 160
- 1320
- 704
- 144
- 32
- 252
- 168
- 480
- 968
- 660
- 36
- 800
- 174
- 180
- 125
- 76
- 1760
- 2772
- 1232
- 75
- 528
- 258
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude