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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 294 · 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 27 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛216? =
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 2858 (b) 2744 (c) 2907
  5. 5.Which of these is a perfect cube? (a) 125 (b) 197 (c) 183
  6. 6.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  7. 7.What is 9³? =
  8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1218 (b) 1125 (c) 1000
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.What is 15³? =
  14. 14.What is 17³? =
  15. 15.What is 3³? =
  16. 16.Which of these is a perfect cube? (a) 54 (b) 35 (c) 27
  17. 17.What is ∛512? =
  18. 18.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  20. 20.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 670 (b) 585 (c) 512
  23. 23.What is 19³? =
  24. 24.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 343 (b) 347 (c) 484
  27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  30. 30.What is ∛6859? =
  31. 31.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  32. 32.What is 20³? =
  33. 33.Which of these is a perfect cube? (a) 3470 (b) 3388 (c) 3375
  34. 34.What is 6³? =
  35. 35.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  36. 36.What is ∛1728? =
  37. 37.What is 7³? =
  38. 38.What is 16³? =
  39. 39.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  40. 40.What is 14³? =

Answer key

  1. 3
  2. 6
  3. 64
  4. 2744
  5. 125
  6. 4
  7. 729
  8. 10
  9. 216
  10. 14
  11. 1000
  12. 7
  13. 3375
  14. 4913
  15. 27
  16. 27
  17. 8
  18. 5
  19. 2
  20. 64
  21. 9
  22. 512
  23. 6859
  24. 11
  25. 25
  26. 343
  27. 27
  28. 3
  29. 4
  30. 19
  31. 49
  32. 8000
  33. 3375
  34. 216
  35. 2
  36. 12
  37. 343
  38. 4096
  39. 7
  40. 2744

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