← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 486 · 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 the smallest whole number by which 2 must be multiplied to get a perfect cube?
  2. 2.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  3. 3.What is 2³? =
  4. 4.What is 4³? =
  5. 5.What is 18³? =
  6. 6.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is ∛12167? =
  9. 9.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛512? =
  11. 11.What is ∛5832? =
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 3620 (b) 3375 (c) 3875
  14. 14.What is ∛2744? =
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 3012 (b) 2744 (c) 2998
  19. 19.What is 17³? =
  20. 20.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is 3³? =
  22. 22.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  23. 23.What is 13³? =
  24. 24.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 1331 (b) 1375 (c) 1368
  27. 27.What is ∛125? =
  28. 28.What is 16³? =
  29. 29.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.Which of these is a perfect cube? (a) 2160 (b) 2012 (c) 1728
  31. 31.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  35. 35.What is 7³? =
  36. 36.What is ∛3375? =
  37. 37.What is 6³? =
  38. 38.Which of these is a perfect cube? (a) 125 (b) 133 (c) 155
  39. 39.What is ∛2197? =
  40. 40.What is ∛27? =

Answer key

  1. 4
  2. 4
  3. 8
  4. 64
  5. 5832
  6. 9
  7. 27
  8. 23
  9. 14
  10. 8
  11. 18
  12. 4
  13. 3375
  14. 14
  15. 27
  16. 6
  17. 8
  18. 2744
  19. 4913
  20. 125
  21. 27
  22. 7
  23. 2197
  24. 125
  25. 5
  26. 1331
  27. 5
  28. 4096
  29. 64
  30. 1728
  31. 2
  32. 8
  33. 17
  34. 25
  35. 343
  36. 15
  37. 216
  38. 125
  39. 13
  40. 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets