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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 125 · 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.What is ∛8000? =
  2. 2.What is 3³? =
  3. 3.Which of these is a perfect cube? (a) 1000 (b) 1064 (c) 1170
  4. 4.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  5. 5.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛1728? =
  8. 8.What is 10³? =
  9. 9.Which of these is a perfect cube? (a) 73 (b) 85 (c) 64
  10. 10.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  12. 12.What is 12³? =
  13. 13.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  14. 14.What is ∛9261? =
  15. 15.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  19. 19.What is 16³? =
  20. 20.What is 20³? =
  21. 21.What is ∛216? =
  22. 22.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is 19³? =
  24. 24.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is 5³? =
  27. 27.What is ∛5832? =
  28. 28.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 2919 (b) 2744 (c) 3314
  31. 31.What is ∛1000? =
  32. 32.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 2423 (b) 2396 (c) 2197
  35. 35.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is ∛15625? =
  37. 37.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛13824? =
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is 4³? =

Answer key

  1. 20
  2. 27
  3. 1000
  4. 9
  5. 12
  6. 5
  7. 12
  8. 1000
  9. 64
  10. 2
  11. 14
  12. 1728
  13. 9
  14. 21
  15. 10
  16. 16
  17. 2
  18. 13
  19. 4096
  20. 8000
  21. 6
  22. 125
  23. 6859
  24. 7
  25. 27
  26. 125
  27. 18
  28. 2
  29. 25
  30. 2744
  31. 10
  32. 2
  33. 49
  34. 2197
  35. 27
  36. 25
  37. 6
  38. 24
  39. 27
  40. 64

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