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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 96 · 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 big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is 19³? =
  3. 3.Which of these is a perfect cube? (a) 382 (b) 442 (c) 343
  4. 4.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  5. 5.What is ∛4913? =
  6. 6.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 923 (b) 891 (c) 729
  8. 8.Which of these is a perfect cube? (a) 667 (b) 512 (c) 668
  9. 9.Which of these is a perfect cube? (a) 125 (b) 151 (c) 135
  10. 10.What is ∛8? =
  11. 11.Which of these is a perfect cube? (a) 27 (b) 36 (c) 42
  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 the smallest whole number by which 864 must be multiplied to get a perfect cube?
  14. 14.What is 18³? =
  15. 15.Which of these is a perfect cube? (a) 3574 (b) 3969 (c) 3375
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is ∛15625? =
  19. 19.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 76 (b) 69 (c) 64
  24. 24.What is 12³? =
  25. 25.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  26. 26.What is 10³? =
  27. 27.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  29. 29.What is 15³? =
  30. 30.What is ∛9261? =
  31. 31.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  32. 32.What is 11³? =
  33. 33.What is ∛512? =
  34. 34.What is 8³? =
  35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is ∛27? =
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is ∛10648? =
  39. 39.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 648 must be divided to get a perfect cube?

Answer key

  1. 8
  2. 6859
  3. 343
  4. 4
  5. 17
  6. 7
  7. 729
  8. 512
  9. 125
  10. 2
  11. 27
  12. 8
  13. 2
  14. 5832
  15. 3375
  16. 11
  17. 216
  18. 25
  19. 125
  20. 5
  21. 14
  22. 8
  23. 64
  24. 1728
  25. 18
  26. 1000
  27. 3
  28. 4
  29. 3375
  30. 21
  31. 9
  32. 1331
  33. 8
  34. 512
  35. 125
  36. 3
  37. 27
  38. 22
  39. 49
  40. 3

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