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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 173 · 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.Which of these is a perfect cube? (a) 183 (b) 144 (c) 125
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛512? =
  5. 5.Which of these is a perfect cube? (a) 256 (b) 268 (c) 216
  6. 6.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  8. 8.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is 2³? =
  12. 12.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is 15³? =
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 3405 (b) 3874 (c) 3375
  18. 18.Which of these is a perfect cube? (a) 2688 (b) 2197 (c) 2273
  19. 19.Which of these is a perfect cube? (a) 512 (b) 649 (c) 545
  20. 20.Which of these is a perfect cube? (a) 64 (b) 106 (c) 90
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 761 (b) 742 (c) 729
  23. 23.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  25. 25.What is 13³? =
  26. 26.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 14³? =
  29. 29.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  30. 30.What is 5³? =
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is 17³? =
  33. 33.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 445 (b) 343 (c) 391
  35. 35.What is ∛15625? =
  36. 36.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  37. 37.What is ∛5832? =
  38. 38.What is ∛729? =
  39. 39.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  40. 40.What is ∛4913? =

Answer key

  1. 125
  2. 7
  3. 12
  4. 8
  5. 216
  6. 2
  7. 4
  8. 19
  9. 8
  10. 27
  11. 8
  12. 125
  13. 3375
  14. 27
  15. 5
  16. 4
  17. 3375
  18. 2197
  19. 512
  20. 64
  21. 14
  22. 729
  23. 2
  24. 3
  25. 2197
  26. 3
  27. 64
  28. 2744
  29. 7
  30. 125
  31. 64
  32. 4913
  33. 4
  34. 343
  35. 25
  36. 25
  37. 18
  38. 9
  39. 3
  40. 17

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