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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 282 · 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 2³? =
  2. 2.What is 15³? =
  3. 3.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 1728 (b) 2031 (c) 1746
  5. 5.What is ∛5832? =
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is 18³? =
  11. 11.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is 12³? =
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.What is 4³? =
  16. 16.What is 16³? =
  17. 17.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  18. 18.What is ∛4096? =
  19. 19.Which of these is a perfect cube? (a) 64 (b) 98 (c) 105
  20. 20.What is 6³? =
  21. 21.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛216? =
  25. 25.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 3451 (b) 3375 (c) 4016
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is ∛2744? =
  31. 31.Which of these is a perfect cube? (a) 223 (b) 284 (c) 216
  32. 32.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  34. 34.What is ∛6859? =
  35. 35.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  36. 36.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  38. 38.What is ∛10648? =
  39. 39.Which of these is a perfect cube? (a) 921 (b) 916 (c) 729
  40. 40.What is ∛125? =

Answer key

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

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