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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 12 · 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 closed box is 18 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 15 cm?
  3. 3.A closed box is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  4. 4.A closed box is 17 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 25 cm?
  8. 8.A fish tank is 70 cm long, 70 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 15 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  10. 10.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)?
  11. 11.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)?
  12. 12.A box is 9 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  13. 13.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 18 cm?
  14. 14.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)?
  15. 15.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 120 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 8 cm?
  19. 19.A closed box is 10 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  20. 20.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)?
  21. 21.A box is 3 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.A closed box is 19 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 12 cm?
  24. 24.A fish tank is 60 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  26. 26.A closed box is 19 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 30 cm?
  28. 28.A closed box is 5 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 120 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A fish tank is 110 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 12 cm?
  33. 33.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  34. 34.A fish tank is 50 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 15 cm?
  36. 36.A closed box is 16 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  37. 37.A closed box is 16 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  38. 38.A box is 10 cm long, 6 cm wide and 6 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 9 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 1068
  2. 30
  3. 80
  4. 638
  5. 264
  6. 352
  7. 40
  8. 147
  9. 2520
  10. 1584
  11. 2464
  12. 90
  13. 180
  14. 220
  15. 24
  16. 336
  17. 528
  18. 20
  19. 700
  20. 1848
  21. 48
  22. 370
  23. 90
  24. 300
  25. 2197
  26. 286
  27. 72
  28. 222
  29. 588
  30. 198
  31. 2156
  32. 36
  33. 729
  34. 40
  35. 45
  36. 454
  37. 496
  38. 360
  39. 450
  40. 1320

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