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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 361 · 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 ∛27? =
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 693 (b) 512 (c) 520
  5. 5.What is ∛125? =
  6. 6.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  7. 7.What is 4³? =
  8. 8.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 477 (b) 446 (c) 343
  10. 10.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is ∛6859? =
  12. 12.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 27 (b) 38 (c) 28
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is ∛1000? =
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 3375 (b) 3870 (c) 3630
  18. 18.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 137 (b) 125 (c) 174
  20. 20.What is 10³? =
  21. 21.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  22. 22.What is 6³? =
  23. 23.What is 14³? =
  24. 24.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  25. 25.What is ∛512? =
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is 7³? =
  29. 29.Which of these is a perfect cube? (a) 309 (b) 216 (c) 283
  30. 30.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  31. 31.What is 9³? =
  32. 32.What is ∛1728? =
  33. 33.What is 15³? =
  34. 34.What is ∛64? =
  35. 35.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  37. 37.What is ∛10648? =
  38. 38.What is ∛2197? =
  39. 39.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?

Answer key

  1. 3
  2. 2
  3. 17
  4. 512
  5. 5
  6. 9
  7. 64
  8. 14
  9. 343
  10. 216
  11. 19
  12. 49
  13. 27
  14. 27
  15. 10
  16. 11
  17. 3375
  18. 64
  19. 125
  20. 1000
  21. 4
  22. 216
  23. 2744
  24. 7
  25. 8
  26. 6
  27. 8
  28. 343
  29. 216
  30. 7
  31. 729
  32. 12
  33. 3375
  34. 4
  35. 8
  36. 9
  37. 22
  38. 13
  39. 2
  40. 49

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