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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 663 · 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 the smallest whole number by which 392 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 125 (b) 173 (c) 132
  3. 3.What is 4³? =
  4. 4.Which of these is a perfect cube? (a) 1355 (b) 1331 (c) 1388
  5. 5.What is 18³? =
  6. 6.Which of these is a perfect cube? (a) 1056 (b) 1000 (c) 1088
  7. 7.What is ∛10648? =
  8. 8.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  9. 9.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 2356 (b) 2257 (c) 2197
  12. 12.Which of these is a perfect cube? (a) 69 (b) 97 (c) 64
  13. 13.What is 3³? =
  14. 14.What is 11³? =
  15. 15.A big cube of edge 4 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) 512 (b) 541 (c) 562
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛1728? =
  19. 19.What is ∛1000? =
  20. 20.Which of these is a perfect cube? (a) 312 (b) 253 (c) 216
  21. 21.What is ∛64? =
  22. 22.What is 16³? =
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 360 (b) 343 (c) 359
  32. 32.What is ∛1331? =
  33. 33.What is ∛216? =
  34. 34.Which of these is a perfect cube? (a) 52 (b) 27 (c) 48
  35. 35.What is 9³? =
  36. 36.Which of these is a perfect cube? (a) 3975 (b) 3375 (c) 3806
  37. 37.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  38. 38.What is 14³? =
  39. 39.What is 5³? =
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 7
  2. 125
  3. 64
  4. 1331
  5. 5832
  6. 1000
  7. 22
  8. 2
  9. 49
  10. 8
  11. 2197
  12. 64
  13. 27
  14. 1331
  15. 64
  16. 512
  17. 5
  18. 12
  19. 10
  20. 216
  21. 4
  22. 4096
  23. 216
  24. 17
  25. 4
  26. 125
  27. 3
  28. 8
  29. 4
  30. 8
  31. 343
  32. 11
  33. 6
  34. 27
  35. 729
  36. 3375
  37. 11
  38. 2744
  39. 125
  40. 64

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