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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 734 · 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 7³? =
  2. 2.What is 4³? =
  3. 3.Which of these is a perfect cube? (a) 64 (b) 78 (c) 70
  4. 4.What is ∛1728? =
  5. 5.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is 19³? =
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 27 (b) 40 (c) 48
  10. 10.What is ∛512? =
  11. 11.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A big cube of edge 12 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) 1805 (b) 1728 (c) 1995
  16. 16.What is ∛15625? =
  17. 17.What is 16³? =
  18. 18.What is ∛12167? =
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 1331 (b) 1574 (c) 1334
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is ∛13824? =
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  25. 25.What is 18³? =
  26. 26.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  29. 29.What is ∛4096? =
  30. 30.What is ∛9261? =
  31. 31.A big cube of edge 8 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 54 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  34. 34.What is 20³? =
  35. 35.Which of these is a perfect cube? (a) 343 (b) 489 (c) 484
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 162 (b) 125 (c) 143
  38. 38.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 16 must be divided to get a perfect cube?

Answer key

  1. 343
  2. 64
  3. 64
  4. 12
  5. 3
  6. 8
  7. 6859
  8. 125
  9. 27
  10. 8
  11. 4
  12. 25
  13. 64
  14. 216
  15. 1728
  16. 25
  17. 4096
  18. 23
  19. 27
  20. 1331
  21. 64
  22. 24
  23. 27
  24. 17
  25. 5832
  26. 49
  27. 19
  28. 25
  29. 16
  30. 21
  31. 8
  32. 2
  33. 2
  34. 8000
  35. 343
  36. 6
  37. 125
  38. 64
  39. 9
  40. 2

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