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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 603 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.What is 14³? =
  7. 7.What is ∛27? =
  8. 8.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  9. 9.What is ∛729? =
  10. 10.Which of these is a perfect cube? (a) 1382 (b) 1447 (c) 1331
  11. 11.What is 3³? =
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is ∛12167? =
  14. 14.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 272 (b) 322 (c) 216
  16. 16.Which of these is a perfect cube? (a) 37 (b) 27 (c) 53
  17. 17.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 1050 (b) 1058 (c) 1000
  19. 19.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  20. 20.What is ∛10648? =
  21. 21.What is ∛13824? =
  22. 22.What is ∛64? =
  23. 23.Which of these is a perfect cube? (a) 2817 (b) 3091 (c) 2744
  24. 24.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is ∛5832? =
  27. 27.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛125? =
  30. 30.What is ∛343? =
  31. 31.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  32. 32.What is 7³? =
  33. 33.Which of these is a perfect cube? (a) 3520 (b) 3727 (c) 3375
  34. 34.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 85 (b) 64 (c) 78
  37. 37.Which of these is a perfect cube? (a) 398 (b) 447 (c) 343
  38. 38.Which of these is a perfect cube? (a) 2519 (b) 2197 (c) 2320
  39. 39.Which of these is a perfect cube? (a) 636 (b) 558 (c) 512
  40. 40.What is 4³? =

Answer key

  1. 4
  2. 2
  3. 3
  4. 20
  5. 7
  6. 2744
  7. 3
  8. 25
  9. 9
  10. 1331
  11. 27
  12. 8
  13. 23
  14. 125
  15. 216
  16. 27
  17. 25
  18. 1000
  19. 7
  20. 22
  21. 24
  22. 4
  23. 2744
  24. 49
  25. 8
  26. 18
  27. 27
  28. 8
  29. 5
  30. 7
  31. 7
  32. 343
  33. 3375
  34. 14
  35. 8
  36. 64
  37. 343
  38. 2197
  39. 512
  40. 64

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