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 cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 2.A closed box is 14 cm long, 15 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 3.A box is 18 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 4.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 5.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 6.A fish tank is 30 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 7.A closed box is 20 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 8.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 9.A closed box is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 10.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 8 cm?
- 11.A closed box is 12 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 12.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 20 cm?
- 13.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
- 14.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
- 15.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)?
- 16.A closed box is 11 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 17.A fish tank is 40 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 18.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
- 19.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
- 20.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 16 cm?
- 21.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)?
- 22.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)?
- 23.A closed box is 19 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 24.A closed box is 6 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 25.A closed box is 7 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 26.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 6 cm?
- 27.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 28.A fish tank is 70 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.A closed box is 3 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 30.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 6 cm × 9 cm?
- 31.A closed box is 10 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 32.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)?
- 33.A box is 17 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 34.A closed box is 7 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 35.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 30 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 closed box is 3 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 38.A closed box is 19 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 39.A closed box is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
- 40.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
Answer key
- 8
- 1000
- 720
- 18018
- 5544
- 81
- 832
- 4158
- 318
- 16
- 512
- 40
- 600
- 11088
- 4928
- 398
- 168
- 1000
- 12
- 48
- 264
- 660
- 328
- 264
- 322
- 54
- 64
- 560
- 158
- 36
- 440
- 1386
- 1326
- 100
- 54
- 8624
- 312
- 538
- 238
- 343
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude