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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 826 · 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 ∛216? =
  2. 2.Which of these is a perfect cube? (a) 3413 (b) 3375 (c) 3601
  3. 3.What is ∛8? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  8. 8.What is 15³? =
  9. 9.What is ∛4096? =
  10. 10.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is ∛6859? =
  13. 13.Which of these is a perfect cube? (a) 125 (b) 138 (c) 153
  14. 14.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.What is 4³? =
  18. 18.What is 18³? =
  19. 19.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 1462 (b) 1395 (c) 1331
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  28. 28.What is 11³? =
  29. 29.Which of these is a perfect cube? (a) 2199 (b) 2504 (c) 2197
  30. 30.What is 20³? =
  31. 31.What is ∛1331? =
  32. 32.What is 2³? =
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is 16³? =
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is 5³? =
  39. 39.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 6
  2. 3375
  3. 2
  4. 8
  5. 19
  6. 10
  7. 7
  8. 3375
  9. 16
  10. 9
  11. 8
  12. 19
  13. 125
  14. 5
  15. 9
  16. 16
  17. 64
  18. 5832
  19. 216
  20. 1331
  21. 6
  22. 27
  23. 7
  24. 5
  25. 64
  26. 2
  27. 49
  28. 1331
  29. 2197
  30. 8000
  31. 11
  32. 8
  33. 125
  34. 64
  35. 4096
  36. 7
  37. 8
  38. 125
  39. 9
  40. 4

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