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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 114 · 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 cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 368 (b) 389 (c) 343
  4. 4.What is 13³? =
  5. 5.What is 15³? =
  6. 6.Which of these is a perfect cube? (a) 2445 (b) 2197 (c) 2244
  7. 7.What is ∛125? =
  8. 8.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  11. 11.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛1331? =
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 2771 (b) 2744 (c) 3088
  20. 20.What is 3³? =
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 2120 (b) 2031 (c) 1728
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛27? =
  26. 26.What is ∛4913? =
  27. 27.What is 14³? =
  28. 28.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 44 (b) 27 (c) 31
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.What is 12³? =
  37. 37.What is ∛1728? =
  38. 38.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛2197? =

Answer key

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

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