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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 488 · 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 the smallest whole number by which 375 must be divided to get a perfect cube?
  2. 2.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛13824? =
  4. 4.What is ∛9261? =
  5. 5.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is 20³? =
  9. 9.Which of these is a perfect cube? (a) 654 (b) 610 (c) 512
  10. 10.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 3642 (b) 3375 (c) 3395
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is ∛27? =
  14. 14.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  19. 19.What is ∛5832? =
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  21. 21.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 44 (b) 43 (c) 27
  24. 24.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛4913? =
  26. 26.What is 11³? =
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.What is 2³? =
  29. 29.What is 8³? =
  30. 30.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 3171 (b) 2753 (c) 2744
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is 5³? =
  34. 34.Which of these is a perfect cube? (a) 2056 (b) 1728 (c) 1925
  35. 35.Which of these is a perfect cube? (a) 245 (b) 252 (c) 216
  36. 36.What is ∛512? =
  37. 37.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  38. 38.What is 19³? =
  39. 39.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 3
  2. 11
  3. 24
  4. 21
  5. 49
  6. 16
  7. 3
  8. 8000
  9. 512
  10. 125
  11. 3375
  12. 8
  13. 3
  14. 9
  15. 8
  16. 216
  17. 12
  18. 7
  19. 18
  20. 8
  21. 2
  22. 3
  23. 27
  24. 8
  25. 17
  26. 1331
  27. 14
  28. 8
  29. 512
  30. 2
  31. 2744
  32. 7
  33. 125
  34. 1728
  35. 216
  36. 8
  37. 4
  38. 6859
  39. 4
  40. 27

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