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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 712 · 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 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 343 (b) 386 (c) 439
  5. 5.What is 8³? =
  6. 6.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  10. 10.What is ∛10648? =
  11. 11.What is ∛6859? =
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  15. 15.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  16. 16.What is 5³? =
  17. 17.What is 15³? =
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛9261? =
  21. 21.What is 18³? =
  22. 22.What is ∛8000? =
  23. 23.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 14³? =
  25. 25.Which of these is a perfect cube? (a) 276 (b) 220 (c) 216
  26. 26.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 1777 (b) 1728 (c) 1942
  34. 34.What is ∛1728? =
  35. 35.What is ∛729? =
  36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is ∛15625? =
  40. 40.What is 13³? =

Answer key

  1. 8
  2. 12
  3. 16
  4. 343
  5. 512
  6. 8
  7. 27
  8. 3
  9. 49
  10. 22
  11. 19
  12. 216
  13. 9
  14. 9
  15. 3
  16. 125
  17. 3375
  18. 64
  19. 14
  20. 21
  21. 5832
  22. 20
  23. 125
  24. 2744
  25. 216
  26. 3
  27. 9
  28. 2
  29. 7
  30. 8
  31. 25
  32. 125
  33. 1728
  34. 12
  35. 9
  36. 13
  37. 49
  38. 64
  39. 25
  40. 2197

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