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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 144 · 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 5 cm fit exactly in a box that is 30 cm × 20 cm × 15 cm?
  2. 2.A fish tank is 50 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A box is 7 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
  4. 4.A closed box is 13 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 90 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 13 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 6 cm?
  8. 8.A box is 9 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  10. 10.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A closed box is 19 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.A closed box is 13 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 10 cm long, 15 cm wide and 12 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 90 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A closed box is 3 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  17. 17.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)?
  18. 18.A fish tank is 50 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A closed box is 20 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  20. 20.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)?
  21. 21.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 16 cm?
  22. 22.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)?
  23. 23.A closed box is 6 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  24. 24.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)?
  25. 25.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 20 cm?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 4 cm?
  28. 28.A box is 12 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  29. 29.A closed box is 14 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
  31. 31.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A closed box is 13 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A fish tank is 30 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 6 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  38. 38.A fish tank is 40 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  40. 40.A closed box is 7 cm long, 10 cm wide and 8 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 72
  2. 80
  3. 588
  4. 662
  5. 567
  6. 910
  7. 20
  8. 693
  9. 8
  10. 2464
  11. 1138
  12. 15246
  13. 422
  14. 1800
  15. 36
  16. 72
  17. 660
  18. 225
  19. 998
  20. 2464
  21. 48
  22. 11088
  23. 126
  24. 528
  25. 1584
  26. 120
  27. 12
  28. 840
  29. 752
  30. 8
  31. 1144
  32. 526
  33. 88
  34. 440
  35. 72
  36. 234
  37. 8
  38. 252
  39. 1331
  40. 412

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