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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 319 · 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 2197 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 77 (b) 92 (c) 64
  4. 4.What is ∛12167? =
  5. 5.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is ∛343? =
  10. 10.What is 3³? =
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 8³? =
  13. 13.What is ∛15625? =
  14. 14.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  17. 17.What is 14³? =
  18. 18.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 3998 (b) 3375 (c) 3582
  20. 20.What is 20³? =
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is ∛1000? =
  23. 23.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  24. 24.What is ∛729? =
  25. 25.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.Which of these is a perfect cube? (a) 48 (b) 42 (c) 27
  28. 28.What is ∛10648? =
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is 15³? =
  31. 31.What is 6³? =
  32. 32.What is 9³? =
  33. 33.Which of these is a perfect cube? (a) 370 (b) 371 (c) 343
  34. 34.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 1090 (b) 1068 (c) 1000
  36. 36.What is ∛2197? =
  37. 37.Which of these is a perfect cube? (a) 301 (b) 216 (c) 256
  38. 38.What is ∛64? =
  39. 39.Which of these is a perfect cube? (a) 1926 (b) 1728 (c) 2004
  40. 40.Which of these is a perfect cube? (a) 125 (b) 183 (c) 177

Answer key

  1. 13
  2. 3
  3. 64
  4. 23
  5. 7
  6. 16
  7. 3
  8. 125
  9. 7
  10. 27
  11. 8
  12. 512
  13. 25
  14. 8
  15. 2
  16. 12
  17. 2744
  18. 4
  19. 3375
  20. 8000
  21. 216
  22. 10
  23. 25
  24. 9
  25. 14
  26. 27
  27. 27
  28. 22
  29. 64
  30. 3375
  31. 216
  32. 729
  33. 343
  34. 5
  35. 1000
  36. 13
  37. 216
  38. 4
  39. 1728
  40. 125

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