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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 373 · 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 64 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is ∛64? =
  4. 4.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1331 (b) 1376 (c) 1437
  6. 6.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  7. 7.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  9. 9.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  10. 10.What is 3³? =
  11. 11.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 86 (b) 64 (c) 97
  15. 15.What is 12³? =
  16. 16.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  17. 17.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  18. 18.What is 15³? =
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is ∛12167? =
  21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛4913? =
  24. 24.What is ∛343? =
  25. 25.Which of these is a perfect cube? (a) 2336 (b) 2197 (c) 2256
  26. 26.What is 6³? =
  27. 27.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  28. 28.What is ∛8? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 573 (b) 512 (c) 520
  36. 36.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 218 (b) 245 (c) 216
  38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛1728? =

Answer key

  1. 4
  2. 216
  3. 4
  4. 11
  5. 1331
  6. 2
  7. 27
  8. 25
  9. 9
  10. 27
  11. 4
  12. 49
  13. 12
  14. 64
  15. 1728
  16. 7
  17. 49
  18. 3375
  19. 125
  20. 23
  21. 5
  22. 6
  23. 17
  24. 7
  25. 2197
  26. 216
  27. 3
  28. 2
  29. 27
  30. 64
  31. 4
  32. 4
  33. 49
  34. 7
  35. 512
  36. 2
  37. 216
  38. 27
  39. 20
  40. 12

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