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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 471 · 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 ∛15625? =
  2. 2.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.What is 19³? =
  5. 5.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  6. 6.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  7. 7.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  8. 8.What is ∛64? =
  9. 9.Which of these is a perfect cube? (a) 2145 (b) 1910 (c) 1728
  10. 10.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1047 (b) 1190 (c) 1000
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  14. 14.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is 7³? =
  18. 18.Which of these is a perfect cube? (a) 2744 (b) 3305 (c) 3195
  19. 19.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  21. 21.What is ∛3375? =
  22. 22.What is ∛4913? =
  23. 23.What is ∛12167? =
  24. 24.What is ∛216? =
  25. 25.What is 20³? =
  26. 26.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 343 (b) 364 (c) 361
  29. 29.What is ∛512? =
  30. 30.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  32. 32.What is 14³? =
  33. 33.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 64 (b) 77 (c) 97
  35. 35.Which of these is a perfect cube? (a) 125 (b) 179 (c) 129
  36. 36.Which of these is a perfect cube? (a) 216 (b) 240 (c) 231
  37. 37.What is 11³? =
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect cube? (a) 2550 (b) 2585 (c) 2197

Answer key

  1. 25
  2. 11
  3. 3
  4. 6859
  5. 2
  6. 9
  7. 5
  8. 4
  9. 1728
  10. 20
  11. 1000
  12. 15
  13. 5
  14. 4
  15. 4
  16. 27
  17. 343
  18. 2744
  19. 7
  20. 7
  21. 15
  22. 17
  23. 23
  24. 6
  25. 8000
  26. 8
  27. 14
  28. 343
  29. 8
  30. 2
  31. 4
  32. 2744
  33. 3
  34. 64
  35. 125
  36. 216
  37. 1331
  38. 8
  39. 17
  40. 2197

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