← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 408 · 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 4³? =
  2. 2.What is ∛4096? =
  3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  5. 5.What is 13³? =
  6. 6.What is 19³? =
  7. 7.What is ∛6859? =
  8. 8.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  9. 9.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛1000? =
  11. 11.Which of these is a perfect cube? (a) 191 (b) 125 (c) 149
  12. 12.Which of these is a perfect cube? (a) 27 (b) 35 (c) 48
  13. 13.Which of these is a perfect cube? (a) 2756 (b) 3200 (c) 2744
  14. 14.What is ∛10648? =
  15. 15.What is 9³? =
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  18. 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 1767 (b) 2007 (c) 1728
  21. 21.What is ∛8? =
  22. 22.What is ∛15625? =
  23. 23.What is ∛64? =
  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.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is 10³? =
  27. 27.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  29. 29.What is 6³? =
  30. 30.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  33. 33.What is ∛343? =
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 1528 (b) 1331 (c) 1509
  36. 36.Which of these is a perfect cube? (a) 1000 (b) 1243 (c) 1034
  37. 37.What is ∛1331? =
  38. 38.What is 12³? =
  39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?

Answer key

  1. 64
  2. 16
  3. 216
  4. 2
  5. 2197
  6. 6859
  7. 19
  8. 4
  9. 125
  10. 10
  11. 125
  12. 27
  13. 2744
  14. 22
  15. 729
  16. 125
  17. 3
  18. 27
  19. 3
  20. 1728
  21. 2
  22. 25
  23. 4
  24. 125
  25. 2
  26. 1000
  27. 125
  28. 11
  29. 216
  30. 9
  31. 6
  32. 5
  33. 7
  34. 216
  35. 1331
  36. 1000
  37. 11
  38. 1728
  39. 216
  40. 49

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