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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 506 · 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.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 24 cm?
  2. 2.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 30 cm?
  3. 3.A closed box is 10 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  4. 4.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A fish tank is 40 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.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)?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 15 cm?
  8. 8.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A box is 8 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 15 cm?
  14. 14.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  15. 15.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 20 cm?
  16. 16.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  17. 17.A fish tank is 30 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 15 cm?
  19. 19.A box is 14 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 19 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.A box is 18 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 19 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.A closed box is 8 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  26. 26.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  27. 27.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 40 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A box is 9 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  31. 31.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A box is 10 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  33. 33.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 25 cm?
  34. 34.A closed box is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.A box is 12 cm long, 9 cm wide and 11 cm high. What is its volume (in cubic cm)?
  36. 36.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 12 cm?
  37. 37.A fish tank is 90 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  40. 40.A closed box is 5 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 90
  2. 96
  3. 480
  4. 22176
  5. 72
  6. 2464
  7. 100
  8. 24
  9. 448
  10. 726
  11. 343
  12. 294
  13. 18
  14. 1014
  15. 100
  16. 24
  17. 54
  18. 45
  19. 308
  20. 428
  21. 8624
  22. 2160
  23. 2850
  24. 2002
  25. 416
  26. 1350
  27. 528
  28. 96
  29. 36
  30. 126
  31. 352
  32. 180
  33. 150
  34. 62
  35. 1188
  36. 90
  37. 252
  38. 27
  39. 216
  40. 310

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