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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 99 · 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.What is 9³? =
  2. 2.What is ∛64? =
  3. 3.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 411 (b) 362 (c) 343
  5. 5.Which of these is a perfect cube? (a) 1050 (b) 1000 (c) 1217
  6. 6.What is 4³? =
  7. 7.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 125 (b) 140 (c) 150
  12. 12.What is ∛1000? =
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  15. 15.What is 11³? =
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  18. 18.What is ∛4913? =
  19. 19.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is 2³? =
  22. 22.Which of these is a perfect cube? (a) 41 (b) 27 (c) 52
  23. 23.Which of these is a perfect cube? (a) 2374 (b) 2197 (c) 2577
  24. 24.What is ∛2744? =
  25. 25.Which of these is a perfect cube? (a) 216 (b) 310 (c) 315
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 3375 (b) 3780 (c) 3526
  29. 29.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  30. 30.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  31. 31.What is ∛13824? =
  32. 32.What is 6³? =
  33. 33.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  35. 35.What is 16³? =
  36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 813 (b) 729 (c) 899
  39. 39.Which of these is a perfect cube? (a) 2744 (b) 3147 (c) 3004
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 729
  2. 4
  3. 3
  4. 343
  5. 1000
  6. 64
  7. 2
  8. 4
  9. 5
  10. 8
  11. 125
  12. 10
  13. 17
  14. 16
  15. 1331
  16. 8
  17. 2
  18. 17
  19. 125
  20. 27
  21. 8
  22. 27
  23. 2197
  24. 14
  25. 216
  26. 6
  27. 4
  28. 3375
  29. 49
  30. 49
  31. 24
  32. 216
  33. 2
  34. 4
  35. 4096
  36. 27
  37. 216
  38. 729
  39. 2744
  40. 64

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