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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 255 · 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 2744 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  7. 7.What is ∛512? =
  8. 8.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  11. 11.What is 17³? =
  12. 12.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is ∛12167? =
  14. 14.What is ∛13824? =
  15. 15.What is 18³? =
  16. 16.What is 16³? =
  17. 17.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  18. 18.What is 19³? =
  19. 19.What is ∛125? =
  20. 20.What is 13³? =
  21. 21.What is ∛64? =
  22. 22.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  23. 23.What is 7³? =
  24. 24.What is 12³? =
  25. 25.What is ∛343? =
  26. 26.Which of these is a perfect cube? (a) 27 (b) 54 (c) 36
  27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  28. 28.What is 10³? =
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is 15³? =
  31. 31.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1331 (b) 1532 (c) 1467
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 40 must be divided to get a perfect cube?

Answer key

  1. 14
  2. 7
  3. 8
  4. 27
  5. 9
  6. 5
  7. 8
  8. 216
  9. 4
  10. 4
  11. 4913
  12. 125
  13. 23
  14. 24
  15. 5832
  16. 4096
  17. 49
  18. 6859
  19. 5
  20. 2197
  21. 4
  22. 5
  23. 343
  24. 1728
  25. 7
  26. 27
  27. 16
  28. 1000
  29. 13
  30. 3375
  31. 4
  32. 12
  33. 7
  34. 9
  35. 3
  36. 1331
  37. 17
  38. 7
  39. 7
  40. 5

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