← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 524 · 40 questions
TalentJR

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. 1.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 16 cm?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 12 cm?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 25 cm?
  5. 5.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A closed box is 17 cm long, 15 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  8. 8.A fish tank is 70 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A closed box is 3 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  10. 10.A box is 3 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  11. 11.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 20 cm?
  12. 12.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  13. 13.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)?
  14. 14.A closed box is 14 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  15. 15.A fish tank is 40 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A fish tank is 100 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A fish tank is 50 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.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)?
  19. 19.A box is 4 cm long, 12 cm wide and 6 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 90 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  22. 22.A box is 8 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  23. 23.A fish tank is 30 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A fish tank is 100 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A box is 12 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 14 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  27. 27.A closed box is 12 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 12 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  29. 29.A closed box is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 6 cm?
  31. 31.A box is 4 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 16 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 16 cm?
  35. 35.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
  38. 38.A fish tank is 90 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A fish tank is 70 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 150
  2. 24
  3. 72
  4. 60
  5. 440
  6. 830
  7. 2744
  8. 126
  9. 334
  10. 180
  11. 120
  12. 294
  13. 1408
  14. 400
  15. 120
  16. 200
  17. 100
  18. 572
  19. 288
  20. 648
  21. 27
  22. 448
  23. 30
  24. 150
  25. 1680
  26. 630
  27. 192
  28. 924
  29. 52
  30. 45
  31. 192
  32. 576
  33. 44
  34. 36
  35. 12320
  36. 3375
  37. 108
  38. 486
  39. 5544
  40. 336

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude