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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 10 · 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 the smallest whole number by which 72 must be multiplied to get a perfect cube?
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.What is 17³? =
  4. 4.Which of these is a perfect cube? (a) 2324 (b) 2197 (c) 2251
  5. 5.What is ∛8000? =
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 27 (b) 51 (c) 32
  8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  9. 9.What is 11³? =
  10. 10.What is ∛8? =
  11. 11.Which of these is a perfect cube? (a) 125 (b) 156 (c) 160
  12. 12.What is ∛2744? =
  13. 13.What is 3³? =
  14. 14.What is 13³? =
  15. 15.What is ∛64? =
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  18. 18.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is ∛4913? =
  23. 23.What is 5³? =
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is 6³? =
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 3375 (b) 3762 (c) 3531
  29. 29.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  30. 30.What is 8³? =
  31. 31.What is 4³? =
  32. 32.Which of these is a perfect cube? (a) 216 (b) 234 (c) 296
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 12³? =
  35. 35.What is 14³? =
  36. 36.What is ∛5832? =
  37. 37.Which of these is a perfect cube? (a) 1749 (b) 1874 (c) 1728
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 64 (b) 73 (c) 86
  40. 40.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?

Answer key

  1. 3
  2. 4
  3. 4913
  4. 2197
  5. 20
  6. 20
  7. 27
  8. 2
  9. 1331
  10. 2
  11. 125
  12. 14
  13. 27
  14. 2197
  15. 4
  16. 8
  17. 7
  18. 2
  19. 8
  20. 64
  21. 8
  22. 17
  23. 125
  24. 8
  25. 216
  26. 27
  27. 64
  28. 3375
  29. 49
  30. 512
  31. 64
  32. 216
  33. 8
  34. 1728
  35. 2744
  36. 18
  37. 1728
  38. 216
  39. 64
  40. 7

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