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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 264 · 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 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  3. 3.What is 16³? =
  4. 4.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  5. 5.What is 5³? =
  6. 6.Which of these is a perfect cube? (a) 343 (b) 457 (c) 417
  7. 7.What is 12³? =
  8. 8.What is ∛729? =
  9. 9.What is ∛4096? =
  10. 10.What is 15³? =
  11. 11.What is 14³? =
  12. 12.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 3045 (b) 2827 (c) 2744
  17. 17.What is ∛9261? =
  18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  22. 22.What is 11³? =
  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 4 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.What is 19³? =
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.What is 6³? =
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 3670 (b) 3557 (c) 3375
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛12167? =
  36. 36.What is 2³? =
  37. 37.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛8? =
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 125
  2. 49
  3. 4096
  4. 2
  5. 125
  6. 343
  7. 1728
  8. 9
  9. 16
  10. 3375
  11. 2744
  12. 17
  13. 8
  14. 27
  15. 125
  16. 2744
  17. 21
  18. 125
  19. 16
  20. 6
  21. 7
  22. 1331
  23. 64
  24. 4
  25. 4
  26. 10
  27. 6859
  28. 3
  29. 216
  30. 64
  31. 3375
  32. 64
  33. 5
  34. 4
  35. 23
  36. 8
  37. 49
  38. 7
  39. 2
  40. 27

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