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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 995 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 1059 (b) 1000 (c) 1298
  3. 3.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  4. 4.What is ∛216? =
  5. 5.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 874 (b) 866 (c) 729
  7. 7.What is 18³? =
  8. 8.Which of these is a perfect cube? (a) 616 (b) 688 (c) 512
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛5832? =
  11. 11.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  15. 15.What is ∛6859? =
  16. 16.Which of these is a perfect cube? (a) 1605 (b) 1366 (c) 1331
  17. 17.What is 2³? =
  18. 18.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is 11³? =
  21. 21.What is ∛2197? =
  22. 22.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  23. 23.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 358 (b) 343 (c) 436
  25. 25.What is 13³? =
  26. 26.Which of these is a perfect cube? (a) 216 (b) 218 (c) 234
  27. 27.What is 6³? =
  28. 28.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is 9³? =
  35. 35.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  36. 36.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  37. 37.What is ∛125? =
  38. 38.What is ∛4913? =
  39. 39.What is 14³? =
  40. 40.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?

Answer key

  1. 18
  2. 1000
  3. 49
  4. 6
  5. 11
  6. 729
  7. 5832
  8. 512
  9. 6
  10. 18
  11. 2
  12. 16
  13. 216
  14. 49
  15. 19
  16. 1331
  17. 8
  18. 7
  19. 8
  20. 1331
  21. 13
  22. 25
  23. 9
  24. 343
  25. 2197
  26. 216
  27. 216
  28. 2
  29. 64
  30. 2
  31. 125
  32. 8
  33. 27
  34. 729
  35. 7
  36. 2
  37. 5
  38. 17
  39. 2744
  40. 25

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