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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 346 · 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 2³? =
  2. 2.What is 19³? =
  3. 3.What is ∛8? =
  4. 4.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  5. 5.What is 14³? =
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  8. 8.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  9. 9.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 27 (b) 42 (c) 40
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 9³? =
  13. 13.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛1331? =
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 2416 (b) 2197 (c) 2585
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 316 (b) 246 (c) 216
  21. 21.What is ∛4096? =
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 3472 (b) 3623 (c) 3375
  24. 24.What is ∛729? =
  25. 25.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛4913? =
  28. 28.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 125 (b) 200 (c) 171
  31. 31.What is 10³? =
  32. 32.What is ∛1000? =
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  37. 37.What is 7³? =
  38. 38.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  39. 39.What is 15³? =
  40. 40.What is 6³? =

Answer key

  1. 8
  2. 6859
  3. 2
  4. 5
  5. 2744
  6. 27
  7. 2
  8. 7
  9. 9
  10. 27
  11. 8
  12. 729
  13. 19
  14. 16
  15. 2
  16. 11
  17. 64
  18. 2197
  19. 27
  20. 216
  21. 16
  22. 3
  23. 3375
  24. 9
  25. 4
  26. 17
  27. 17
  28. 2
  29. 7
  30. 125
  31. 1000
  32. 10
  33. 4
  34. 3
  35. 15
  36. 9
  37. 343
  38. 49
  39. 3375
  40. 216

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