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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 901 · 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 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  5. 5.What is 6³? =
  6. 6.Which of these is a perfect cube? (a) 46 (b) 27 (c) 42
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 3272 (b) 2744 (c) 2944
  9. 9.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1728 (b) 1823 (c) 2071
  12. 12.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  13. 13.What is ∛4096? =
  14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  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.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is 14³? =
  19. 19.What is 9³? =
  20. 20.Which of these is a perfect cube? (a) 1000 (b) 1297 (c) 1037
  21. 21.What is 10³? =
  22. 22.Which of these is a perfect cube? (a) 3497 (b) 3375 (c) 3877
  23. 23.What is 16³? =
  24. 24.What is 20³? =
  25. 25.Which of these is a perfect cube? (a) 2289 (b) 2522 (c) 2197
  26. 26.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is ∛125? =
  30. 30.What is 19³? =
  31. 31.What is ∛1331? =
  32. 32.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  33. 33.What is 3³? =
  34. 34.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  36. 36.What is ∛9261? =
  37. 37.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  38. 38.What is 2³? =
  39. 39.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 125
  2. 8
  3. 18
  4. 15
  5. 216
  6. 27
  7. 125
  8. 2744
  9. 4
  10. 2
  11. 1728
  12. 3
  13. 16
  14. 27
  15. 6
  16. 8
  17. 8
  18. 2744
  19. 729
  20. 1000
  21. 1000
  22. 3375
  23. 4096
  24. 8000
  25. 2197
  26. 9
  27. 17
  28. 27
  29. 5
  30. 6859
  31. 11
  32. 2
  33. 27
  34. 5
  35. 4
  36. 21
  37. 5
  38. 8
  39. 2
  40. 125

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