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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 62 · 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 17³? =
  2. 2.What is 19³? =
  3. 3.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  4. 4.What is ∛2197? =
  5. 5.Which of these is a perfect cube? (a) 166 (b) 137 (c) 125
  6. 6.What is 7³? =
  7. 7.What is ∛5832? =
  8. 8.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 5³? =
  10. 10.Which of these is a perfect cube? (a) 27 (b) 29 (c) 49
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛8? =
  13. 13.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛216? =
  16. 16.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is 9³? =
  19. 19.What is 12³? =
  20. 20.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛8000? =
  24. 24.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 11³? =
  27. 27.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  30. 30.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛6859? =
  32. 32.What is ∛4913? =
  33. 33.What is 16³? =
  34. 34.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is ∛12167? =
  37. 37.What is ∛125? =
  38. 38.What is 3³? =
  39. 39.Which of these is a perfect cube? (a) 65 (b) 86 (c) 64
  40. 40.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 4913
  2. 6859
  3. 2
  4. 13
  5. 125
  6. 343
  7. 18
  8. 8
  9. 125
  10. 27
  11. 8
  12. 2
  13. 49
  14. 2
  15. 6
  16. 5
  17. 8
  18. 729
  19. 1728
  20. 9
  21. 3
  22. 15
  23. 20
  24. 9
  25. 125
  26. 1331
  27. 25
  28. 13
  29. 2
  30. 11
  31. 19
  32. 17
  33. 4096
  34. 49
  35. 125
  36. 23
  37. 5
  38. 27
  39. 64
  40. 27

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