← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 909 · 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 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is 6³? =
  3. 3.What is 4³? =
  4. 4.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  5. 5.What is ∛125? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛343? =
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 2017 (b) 1895 (c) 1728
  12. 12.What is ∛15625? =
  13. 13.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 578 (b) 512 (c) 692
  17. 17.What is ∛13824? =
  18. 18.What is 20³? =
  19. 19.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛8000? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 430 (b) 362 (c) 343
  24. 24.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 3375 (b) 3688 (c) 3599
  26. 26.What is ∛3375? =
  27. 27.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  28. 28.What is ∛8? =
  29. 29.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  30. 30.What is 16³? =
  31. 31.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 1562 (b) 1331 (c) 1689
  34. 34.What is ∛6859? =
  35. 35.What is 14³? =
  36. 36.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  37. 37.What is 19³? =
  38. 38.Which of these is a perfect cube? (a) 152 (b) 163 (c) 125
  39. 39.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 64
  2. 216
  3. 64
  4. 5
  5. 5
  6. 8
  7. 8
  8. 7
  9. 8
  10. 12
  11. 1728
  12. 25
  13. 9
  14. 9
  15. 27
  16. 512
  17. 24
  18. 8000
  19. 4
  20. 2
  21. 20
  22. 15
  23. 343
  24. 18
  25. 3375
  26. 15
  27. 2
  28. 2
  29. 10
  30. 4096
  31. 11
  32. 125
  33. 1331
  34. 19
  35. 2744
  36. 4
  37. 6859
  38. 125
  39. 49
  40. 6

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