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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 602 · 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 big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  3. 3.What is ∛27? =
  4. 4.What is ∛512? =
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 1992 (b) 1728 (c) 2052
  7. 7.What is ∛2197? =
  8. 8.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  9. 9.What is 19³? =
  10. 10.What is 13³? =
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 373 (b) 343 (c) 347
  13. 13.What is ∛1000? =
  14. 14.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  15. 15.What is ∛64? =
  16. 16.What is ∛729? =
  17. 17.What is 15³? =
  18. 18.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛10648? =
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is 12³? =
  22. 22.What is ∛216? =
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 159 (b) 150 (c) 125
  29. 29.Which of these is a perfect cube? (a) 1041 (b) 1277 (c) 1000
  30. 30.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 673 (b) 512 (c) 590
  33. 33.Which of these is a perfect cube? (a) 1547 (b) 1443 (c) 1331
  34. 34.What is 20³? =
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 729 (b) 882 (c) 784
  37. 37.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  38. 38.What is 9³? =
  39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 4045 (b) 3375 (c) 3457

Answer key

  1. 27
  2. 2
  3. 3
  4. 8
  5. 8
  6. 1728
  7. 13
  8. 5
  9. 6859
  10. 2197
  11. 125
  12. 343
  13. 10
  14. 49
  15. 4
  16. 9
  17. 3375
  18. 12
  19. 22
  20. 19
  21. 1728
  22. 6
  23. 27
  24. 8
  25. 7
  26. 16
  27. 2
  28. 125
  29. 1000
  30. 8
  31. 64
  32. 512
  33. 1331
  34. 8000
  35. 2
  36. 729
  37. 4
  38. 729
  39. 8
  40. 3375

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