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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 93 · 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 729 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 1000 (b) 1009 (c) 1232
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛216? =
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  11. 11.What is 8³? =
  12. 12.Which of these is a perfect cube? (a) 315 (b) 216 (c) 295
  13. 13.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  14. 14.What is 17³? =
  15. 15.What is ∛512? =
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is ∛1331? =
  19. 19.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  20. 20.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is ∛2197? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is ∛6859? =
  24. 24.What is 14³? =
  25. 25.What is 6³? =
  26. 26.Which of these is a perfect cube? (a) 546 (b) 668 (c) 512
  27. 27.What is 7³? =
  28. 28.Which of these is a perfect cube? (a) 64 (b) 80 (c) 78
  29. 29.What is 11³? =
  30. 30.Which of these is a perfect cube? (a) 1959 (b) 1975 (c) 1728
  31. 31.Which of these is a perfect cube? (a) 3260 (b) 3261 (c) 2744
  32. 32.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is 20³? =
  36. 36.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 1080 must be divided to get a perfect cube?

Answer key

  1. 125
  2. 9
  3. 1000
  4. 14
  5. 4
  6. 15
  7. 6
  8. 64
  9. 27
  10. 9
  11. 512
  12. 216
  13. 3
  14. 4913
  15. 8
  16. 27
  17. 216
  18. 11
  19. 9
  20. 64
  21. 13
  22. 27
  23. 19
  24. 2744
  25. 216
  26. 512
  27. 343
  28. 64
  29. 1331
  30. 1728
  31. 2744
  32. 3
  33. 13
  34. 64
  35. 8000
  36. 11
  37. 27
  38. 12
  39. 9
  40. 5

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