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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 676 · 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 ∛5832? =
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is 6³? =
  5. 5.What is ∛1331? =
  6. 6.What is ∛27? =
  7. 7.What is ∛4096? =
  8. 8.What is ∛2744? =
  9. 9.What is 9³? =
  10. 10.Which of these is a perfect cube? (a) 1083 (b) 1172 (c) 1000
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 64 (b) 109 (c) 68
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.What is 13³? =
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 1331 (b) 1561 (c) 1664
  19. 19.What is ∛512? =
  20. 20.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is ∛64? =
  23. 23.Which of these is a perfect cube? (a) 184 (b) 195 (c) 125
  24. 24.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  25. 25.What is 20³? =
  26. 26.What is 16³? =
  27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  35. 35.What is ∛216? =
  36. 36.What is ∛8000? =
  37. 37.What is ∛13824? =
  38. 38.What is 12³? =
  39. 39.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 853 (b) 806 (c) 729

Answer key

  1. 18
  2. 6
  3. 8
  4. 216
  5. 11
  6. 3
  7. 16
  8. 14
  9. 729
  10. 1000
  11. 8
  12. 64
  13. 20
  14. 2197
  15. 15
  16. 5
  17. 13
  18. 1331
  19. 8
  20. 25
  21. 8
  22. 4
  23. 125
  24. 18
  25. 8000
  26. 4096
  27. 4
  28. 7
  29. 12
  30. 5
  31. 49
  32. 25
  33. 7
  34. 4
  35. 6
  36. 20
  37. 24
  38. 1728
  39. 3
  40. 729

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