← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 70 · 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 2 cm fit exactly in a box that is 4 cm × 8 cm × 6 cm?
  2. 2.A closed box is 4 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  3. 3.A box is 19 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  4. 4.A fish tank is 110 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.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)?
  6. 6.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 25 cm?
  7. 7.A fish tank is 90 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A box is 18 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A fish tank is 70 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 9 cm?
  12. 12.A fish tank is 50 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A box is 10 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  14. 14.A closed box is 6 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 9 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  16. 16.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  17. 17.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A closed box is 10 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A closed box is 5 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  21. 21.A box is 9 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  22. 22.A fish tank is 60 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A fish tank is 120 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A fish tank is 80 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 90 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.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)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 6 cm?
  30. 30.A closed box is 19 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 15 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 25 cm?
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 4 cm?
  35. 35.A fish tank is 120 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A box is 14 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.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)?
  38. 38.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 8 cm?
  39. 39.A fish tank is 90 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A fish tank is 90 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 24
  2. 176
  3. 152
  4. 1100
  5. 132
  6. 125
  7. 324
  8. 594
  9. 1386
  10. 112
  11. 36
  12. 300
  13. 1100
  14. 264
  15. 518
  16. 54
  17. 11088
  18. 370
  19. 264
  20. 370
  21. 81
  22. 120
  23. 840
  24. 1056
  25. 220
  26. 224
  27. 567
  28. 8008
  29. 45
  30. 704
  31. 1116
  32. 100
  33. 132
  34. 72
  35. 144
  36. 280
  37. 2464
  38. 16
  39. 126
  40. 144

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude