← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 74 · 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 15³? =
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is 19³? =
  6. 6.What is ∛512? =
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  12. 12.What is 18³? =
  13. 13.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛729? =
  15. 15.Which of these is a perfect cube? (a) 1009 (b) 1000 (c) 1118
  16. 16.What is ∛64? =
  17. 17.What is 11³? =
  18. 18.What is 16³? =
  19. 19.What is ∛15625? =
  20. 20.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 101 (b) 72 (c) 64
  26. 26.What is ∛3375? =
  27. 27.What is ∛13824? =
  28. 28.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  29. 29.What is ∛1728? =
  30. 30.What is 4³? =
  31. 31.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 1592 (b) 1410 (c) 1331
  35. 35.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is 14³? =
  39. 39.What is ∛2744? =
  40. 40.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 4
  2. 3375
  3. 64
  4. 27
  5. 6859
  6. 8
  7. 8
  8. 125
  9. 3
  10. 8
  11. 3
  12. 5832
  13. 216
  14. 9
  15. 1000
  16. 4
  17. 1331
  18. 4096
  19. 25
  20. 2
  21. 3
  22. 8
  23. 27
  24. 7
  25. 64
  26. 15
  27. 24
  28. 2
  29. 12
  30. 64
  31. 3
  32. 64
  33. 9
  34. 1331
  35. 18
  36. 19
  37. 216
  38. 2744
  39. 14
  40. 125

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