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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 28 · 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 cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  2. 2.What is 17³? =
  3. 3.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 1966 (b) 1728 (c) 1823
  5. 5.What is 11³? =
  6. 6.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛1000? =
  9. 9.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  10. 10.What is 9³? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛729? =
  15. 15.What is 14³? =
  16. 16.What is ∛5832? =
  17. 17.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 408 (b) 343 (c) 347
  20. 20.What is 6³? =
  21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 792 (b) 729 (c) 928
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  25. 25.What is ∛512? =
  26. 26.Which of these is a perfect cube? (a) 216 (b) 239 (c) 289
  27. 27.What is 7³? =
  28. 28.What is ∛8000? =
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is ∛64? =
  32. 32.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is 19³? =
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.What is 18³? =
  38. 38.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 2546 (b) 2358 (c) 2197

Answer key

  1. 19
  2. 4913
  3. 2
  4. 1728
  5. 1331
  6. 4
  7. 27
  8. 10
  9. 25
  10. 729
  11. 64
  12. 7
  13. 20
  14. 9
  15. 2744
  16. 18
  17. 125
  18. 3
  19. 343
  20. 216
  21. 8
  22. 729
  23. 64
  24. 3
  25. 8
  26. 216
  27. 343
  28. 20
  29. 13
  30. 64
  31. 4
  32. 7
  33. 8
  34. 216
  35. 6859
  36. 7
  37. 5832
  38. 9
  39. 25
  40. 2197

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