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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 563 · 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 13³? =
  2. 2.Which of these is a perfect cube? (a) 1497 (b) 1331 (c) 1624
  3. 3.What is 19³? =
  4. 4.Which of these is a perfect cube? (a) 416 (b) 343 (c) 472
  5. 5.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  6. 6.What is 18³? =
  7. 7.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 2656 (b) 2257 (c) 2197
  9. 9.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  10. 10.What is ∛125? =
  11. 11.What is ∛343? =
  12. 12.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  14. 14.What is 10³? =
  15. 15.What is 6³? =
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is 9³? =
  21. 21.What is ∛2744? =
  22. 22.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 2744 (b) 2870 (c) 2812
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛1331? =
  26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 64 (b) 88 (c) 105
  28. 28.What is ∛10648? =
  29. 29.What is 20³? =
  30. 30.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 185 (b) 176 (c) 125
  32. 32.What is 2³? =
  33. 33.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 2067 (b) 1856 (c) 1728
  36. 36.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  37. 37.What is ∛13824? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is 7³? =
  40. 40.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?

Answer key

  1. 2197
  2. 1331
  3. 6859
  4. 343
  5. 7
  6. 5832
  7. 19
  8. 2197
  9. 9
  10. 5
  11. 7
  12. 8
  13. 7
  14. 1000
  15. 216
  16. 16
  17. 9
  18. 216
  19. 27
  20. 729
  21. 14
  22. 4
  23. 2744
  24. 6
  25. 11
  26. 7
  27. 64
  28. 22
  29. 8000
  30. 3
  31. 125
  32. 8
  33. 216
  34. 125
  35. 1728
  36. 2
  37. 24
  38. 27
  39. 343
  40. 15

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