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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 323 · 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 cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛8? =
  3. 3.What is ∛4096? =
  4. 4.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  6. 6.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 3296 (b) 2981 (c) 2744
  8. 8.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  9. 9.What is 15³? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  12. 12.What is ∛343? =
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 359 (b) 486 (c) 343
  15. 15.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛64? =
  19. 19.Which of these is a perfect cube? (a) 266 (b) 216 (c) 228
  20. 20.What is ∛5832? =
  21. 21.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 577 (b) 623 (c) 512
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 3756 (b) 3375 (c) 3732
  25. 25.What is ∛27? =
  26. 26.What is 14³? =
  27. 27.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  28. 28.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.Which of these is a perfect cube? (a) 1875 (b) 1728 (c) 1877
  30. 30.What is 18³? =
  31. 31.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛2744? =
  35. 35.What is 16³? =
  36. 36.Which of these is a perfect cube? (a) 1143 (b) 1085 (c) 1000
  37. 37.What is 8³? =
  38. 38.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 4
  2. 2
  3. 16
  4. 8
  5. 2
  6. 49
  7. 2744
  8. 4
  9. 3375
  10. 216
  11. 4
  12. 7
  13. 17
  14. 343
  15. 11
  16. 7
  17. 16
  18. 4
  19. 216
  20. 18
  21. 5
  22. 512
  23. 27
  24. 3375
  25. 3
  26. 2744
  27. 4
  28. 125
  29. 1728
  30. 5832
  31. 5
  32. 49
  33. 27
  34. 14
  35. 4096
  36. 1000
  37. 512
  38. 8
  39. 25
  40. 8

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