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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 870 · 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 12³? =
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 1849 (b) 1751 (c) 1728
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 669 (b) 613 (c) 512
  7. 7.What is ∛6859? =
  8. 8.What is 14³? =
  9. 9.Which of these is a perfect cube? (a) 3758 (b) 3525 (c) 3375
  10. 10.What is ∛512? =
  11. 11.What is 16³? =
  12. 12.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is ∛4096? =
  16. 16.Which of these is a perfect cube? (a) 1000 (b) 1218 (c) 1020
  17. 17.What is 3³? =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛125? =
  20. 20.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is ∛10648? =
  25. 25.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  27. 27.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛4913? =
  30. 30.Which of these is a perfect cube? (a) 125 (b) 177 (c) 180
  31. 31.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 1331 (b) 1511 (c) 1661
  33. 33.Which of these is a perfect cube? (a) 34 (b) 37 (c) 27
  34. 34.Which of these is a perfect cube? (a) 729 (b) 882 (c) 972
  35. 35.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  36. 36.What is ∛343? =
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is 7³? =
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?

Answer key

  1. 1728
  2. 12
  3. 3
  4. 1728
  5. 64
  6. 512
  7. 19
  8. 2744
  9. 3375
  10. 8
  11. 4096
  12. 4
  13. 8
  14. 216
  15. 16
  16. 1000
  17. 27
  18. 8
  19. 5
  20. 7
  21. 216
  22. 216
  23. 27
  24. 22
  25. 4
  26. 49
  27. 125
  28. 7
  29. 17
  30. 125
  31. 9
  32. 1331
  33. 27
  34. 729
  35. 5
  36. 7
  37. 8
  38. 343
  39. 17
  40. 25

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