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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 386 · 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 3 cm fit exactly in a box that is 9 cm × 9 cm × 15 cm?
  2. 2.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  3. 3.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  4. 4.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)?
  5. 5.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 15 cm?
  6. 6.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A fish tank is 70 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  9. 9.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 10 cm?
  11. 11.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  13. 13.A box is 3 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  15. 15.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  16. 16.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 25 cm?
  20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A fish tank is 80 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 17 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  23. 23.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A closed box is 7 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  25. 25.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  26. 26.A box is 18 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
  27. 27.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A closed box is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 120 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.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)?
  31. 31.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  32. 32.A fish tank is 60 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A box is 10 cm long, 4 cm wide and 11 cm high. What is its volume (in cubic cm)?
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 15 cm?
  36. 36.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)?
  37. 37.A box is 16 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  38. 38.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A fish tank is 40 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 16 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?

Answer key

  1. 45
  2. 1350
  3. 729
  4. 440
  5. 50
  6. 528
  7. 350
  8. 3375
  9. 15246
  10. 24
  11. 88
  12. 27
  13. 72
  14. 864
  15. 8
  16. 8008
  17. 220
  18. 176
  19. 100
  20. 704
  21. 640
  22. 522
  23. 19404
  24. 378
  25. 216
  26. 1980
  27. 27720
  28. 186
  29. 288
  30. 396
  31. 343
  32. 168
  33. 616
  34. 440
  35. 72
  36. 528
  37. 160
  38. 88
  39. 224
  40. 1152

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