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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 366 · 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 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  3. 3.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  4. 4.What is ∛64? =
  5. 5.What is ∛729? =
  6. 6.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  7. 7.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 512 (b) 568 (c) 676
  12. 12.What is 9³? =
  13. 13.Which of these is a perfect cube? (a) 3682 (b) 3497 (c) 3375
  14. 14.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  15. 15.What is 4³? =
  16. 16.What is 19³? =
  17. 17.What is ∛5832? =
  18. 18.What is 20³? =
  19. 19.Which of these is a perfect cube? (a) 133 (b) 125 (c) 165
  20. 20.Which of these is a perfect cube? (a) 27 (b) 37 (c) 43
  21. 21.What is ∛1728? =
  22. 22.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  23. 23.What is ∛9261? =
  24. 24.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 2285 (b) 2197 (c) 2383
  27. 27.What is ∛27? =
  28. 28.What is ∛125? =
  29. 29.What is ∛4913? =
  30. 30.What is 14³? =
  31. 31.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 1331 (b) 1645 (c) 1527
  34. 34.What is ∛15625? =
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is 16³? =
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?

Answer key

  1. 216
  2. 7
  3. 9
  4. 4
  5. 9
  6. 49
  7. 125
  8. 64
  9. 11
  10. 3
  11. 512
  12. 729
  13. 3375
  14. 9
  15. 64
  16. 6859
  17. 18
  18. 8000
  19. 125
  20. 27
  21. 12
  22. 2
  23. 21
  24. 25
  25. 8
  26. 2197
  27. 3
  28. 5
  29. 17
  30. 2744
  31. 125
  32. 9
  33. 1331
  34. 25
  35. 8
  36. 4096
  37. 8
  38. 8
  39. 7
  40. 2

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