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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 466 · 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 the smallest whole number by which 192 must be multiplied to get a perfect cube?
  2. 2.What is 11³? =
  3. 3.Which of these is a perfect cube? (a) 1728 (b) 1918 (c) 1768
  4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is 3³? =
  6. 6.What is ∛4096? =
  7. 7.Which of these is a perfect cube? (a) 164 (b) 125 (c) 174
  8. 8.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  9. 9.What is ∛13824? =
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.What is 12³? =
  12. 12.What is ∛5832? =
  13. 13.Which of these is a perfect cube? (a) 64 (b) 91 (c) 84
  14. 14.Which of these is a perfect cube? (a) 1041 (b) 1133 (c) 1000
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  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.What is 8³? =
  18. 18.What is 16³? =
  19. 19.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 27 (b) 53 (c) 34
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.What is 10³? =
  23. 23.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is 2³? =
  25. 25.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 2521 (b) 2431 (c) 2197
  27. 27.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 512 (b) 520 (c) 687
  32. 32.What is ∛8? =
  33. 33.What is ∛512? =
  34. 34.What is ∛9261? =
  35. 35.What is ∛2744? =
  36. 36.What is ∛729? =
  37. 37.What is 20³? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛27? =

Answer key

  1. 9
  2. 1331
  3. 1728
  4. 216
  5. 27
  6. 16
  7. 125
  8. 2
  9. 24
  10. 18
  11. 1728
  12. 18
  13. 64
  14. 1000
  15. 15
  16. 27
  17. 512
  18. 4096
  19. 6
  20. 27
  21. 10
  22. 1000
  23. 125
  24. 8
  25. 2
  26. 2197
  27. 4
  28. 7
  29. 216
  30. 7
  31. 512
  32. 2
  33. 8
  34. 21
  35. 14
  36. 9
  37. 8000
  38. 8
  39. 216
  40. 3

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