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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 15 · 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 5³? =
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  4. 4.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  5. 5.What is ∛8? =
  6. 6.What is 6³? =
  7. 7.What is ∛1728? =
  8. 8.Which of these is a perfect cube? (a) 83 (b) 64 (c) 66
  9. 9.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 54 (b) 42 (c) 27
  11. 11.What is ∛5832? =
  12. 12.What is 2³? =
  13. 13.What is 10³? =
  14. 14.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is ∛4913? =
  18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  19. 19.What is 11³? =
  20. 20.Which of these is a perfect cube? (a) 780 (b) 778 (c) 729
  21. 21.What is 4³? =
  22. 22.Which of these is a perfect cube? (a) 1465 (b) 1331 (c) 1516
  23. 23.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 3665 (b) 3375 (c) 4008
  25. 25.What is 7³? =
  26. 26.What is ∛1331? =
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 2197 (b) 2348 (c) 2429
  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 15³? =
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛27? =
  33. 33.Which of these is a perfect cube? (a) 629 (b) 551 (c) 512
  34. 34.What is 9³? =
  35. 35.What is 19³? =
  36. 36.What is 3³? =
  37. 37.What is 20³? =
  38. 38.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  39. 39.What is 8³? =
  40. 40.What is ∛2744? =

Answer key

  1. 125
  2. 2
  3. 4
  4. 49
  5. 2
  6. 216
  7. 12
  8. 64
  9. 49
  10. 27
  11. 18
  12. 8
  13. 1000
  14. 125
  15. 5
  16. 64
  17. 17
  18. 6
  19. 1331
  20. 729
  21. 64
  22. 1331
  23. 25
  24. 3375
  25. 343
  26. 11
  27. 8
  28. 2197
  29. 8
  30. 3375
  31. 17
  32. 3
  33. 512
  34. 729
  35. 6859
  36. 27
  37. 8000
  38. 5
  39. 512
  40. 14

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