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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 290 · 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 ∛125? =
  2. 2.What is ∛512? =
  3. 3.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  4. 4.What is ∛2744? =
  5. 5.Which of these is a perfect cube? (a) 3375 (b) 3778 (c) 3909
  6. 6.What is 12³? =
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 51 (b) 42 (c) 27
  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) 64 (b) 94 (c) 89
  12. 12.Which of these is a perfect cube? (a) 125 (b) 192 (c) 142
  13. 13.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  14. 14.What is 14³? =
  15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛1000? =
  17. 17.What is 10³? =
  18. 18.What is 19³? =
  19. 19.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  21. 21.What is 4³? =
  22. 22.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  23. 23.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is ∛1331? =
  27. 27.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is 2³? =
  31. 31.What is ∛216? =
  32. 32.Which of these is a perfect cube? (a) 512 (b) 601 (c) 542
  33. 33.Which of these is a perfect cube? (a) 916 (b) 765 (c) 729
  34. 34.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is 13³? =
  37. 37.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  38. 38.What is ∛9261? =
  39. 39.What is 16³? =
  40. 40.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?

Answer key

  1. 5
  2. 8
  3. 3
  4. 14
  5. 3375
  6. 1728
  7. 8
  8. 64
  9. 27
  10. 2
  11. 64
  12. 125
  13. 7
  14. 2744
  15. 18
  16. 10
  17. 1000
  18. 6859
  19. 4
  20. 4
  21. 64
  22. 5
  23. 9
  24. 2
  25. 216
  26. 11
  27. 125
  28. 14
  29. 8
  30. 8
  31. 6
  32. 512
  33. 729
  34. 125
  35. 64
  36. 2197
  37. 5
  38. 21
  39. 4096
  40. 13

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