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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 455 · 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).

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

Answer key

  1. 1331
  2. 18
  3. 576
  4. 1848
  5. 562
  6. 210
  7. 3080
  8. 528
  9. 44
  10. 2340
  11. 248
  12. 343
  13. 132
  14. 128
  15. 2744
  16. 724
  17. 256
  18. 48
  19. 528
  20. 833
  21. 1000
  22. 22176
  23. 1232
  24. 472
  25. 4158
  26. 126
  27. 712
  28. 240
  29. 360
  30. 490
  31. 112
  32. 736
  33. 2464
  34. 125
  35. 680
  36. 23562
  37. 288
  38. 27
  39. 144
  40. 318

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