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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 437 · 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 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 1680 (b) 1445 (c) 1331
  4. 4.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 50 (b) 27 (c) 52
  6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  8. 8.What is ∛216? =
  9. 9.What is ∛8000? =
  10. 10.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 6³? =
  13. 13.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  17. 17.What is ∛8? =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 2064 (b) 1732 (c) 1728
  21. 21.Which of these is a perfect cube? (a) 86 (b) 64 (c) 68
  22. 22.What is 10³? =
  23. 23.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛1728? =
  26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  29. 29.What is 5³? =
  30. 30.Which of these is a perfect cube? (a) 3753 (b) 3537 (c) 3375
  31. 31.What is 4³? =
  32. 32.Which of these is a perfect cube? (a) 654 (b) 512 (c) 536
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.What is 3³? =
  35. 35.What is ∛2744? =
  36. 36.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛125? =
  38. 38.What is ∛4096? =
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.What is 11³? =

Answer key

  1. 8
  2. 3
  3. 1331
  4. 216
  5. 27
  6. 125
  7. 25
  8. 6
  9. 20
  10. 13
  11. 125
  12. 216
  13. 8
  14. 7
  15. 15
  16. 3
  17. 2
  18. 216
  19. 64
  20. 1728
  21. 64
  22. 1000
  23. 5
  24. 64
  25. 12
  26. 11
  27. 6
  28. 25
  29. 125
  30. 3375
  31. 64
  32. 512
  33. 7
  34. 27
  35. 14
  36. 2
  37. 5
  38. 16
  39. 20
  40. 1331

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