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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 399 · 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.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  3. 3.What is ∛1331? =
  4. 4.What is ∛216? =
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is 4³? =
  7. 7.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.What is 16³? =
  10. 10.What is ∛4913? =
  11. 11.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 2031 (b) 2134 (c) 1728
  13. 13.What is ∛12167? =
  14. 14.What is 2³? =
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 180 (b) 140 (c) 125
  17. 17.Which of these is a perfect cube? (a) 821 (b) 748 (c) 729
  18. 18.What is 14³? =
  19. 19.What is 5³? =
  20. 20.What is ∛5832? =
  21. 21.What is 15³? =
  22. 22.A big cube of edge 12 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 1600 must be divided to get a perfect cube?
  24. 24.What is 11³? =
  25. 25.What is 18³? =
  26. 26.Which of these is a perfect cube? (a) 27 (b) 43 (c) 41
  27. 27.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  34. 34.What is 8³? =
  35. 35.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛1728? =
  38. 38.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 81 (b) 97 (c) 64

Answer key

  1. 8
  2. 4
  3. 11
  4. 6
  5. 8
  6. 64
  7. 17
  8. 4
  9. 4096
  10. 17
  11. 3
  12. 1728
  13. 23
  14. 8
  15. 8
  16. 125
  17. 729
  18. 2744
  19. 125
  20. 18
  21. 3375
  22. 216
  23. 25
  24. 1331
  25. 5832
  26. 27
  27. 4
  28. 49
  29. 7
  30. 2
  31. 2
  32. 11
  33. 25
  34. 512
  35. 7
  36. 6
  37. 12
  38. 2
  39. 9
  40. 64

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