← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 219 · 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 ∛9261? =
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is 17³? =
  7. 7.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 153 (b) 125 (c) 184
  9. 9.What is 12³? =
  10. 10.What is 5³? =
  11. 11.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛216? =
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 1228 (b) 1069 (c) 1000
  16. 16.What is 16³? =
  17. 17.What is 8³? =
  18. 18.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 3775 (b) 3375 (c) 3651
  22. 22.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 343 (b) 394 (c) 439
  24. 24.Which of these is a perfect cube? (a) 1846 (b) 2088 (c) 1728
  25. 25.What is ∛12167? =
  26. 26.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is ∛3375? =
  28. 28.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛8? =
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛729? =
  33. 33.What is 6³? =
  34. 34.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 677 (b) 512 (c) 691
  36. 36.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  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. 21
  2. 4
  3. 8
  4. 3
  5. 125
  6. 4913
  7. 3
  8. 125
  9. 1728
  10. 125
  11. 10
  12. 6
  13. 18
  14. 12
  15. 1000
  16. 4096
  17. 512
  18. 27
  19. 3
  20. 19
  21. 3375
  22. 3
  23. 343
  24. 1728
  25. 23
  26. 27
  27. 15
  28. 20
  29. 2
  30. 216
  31. 6
  32. 9
  33. 216
  34. 5
  35. 512
  36. 2
  37. 64
  38. 7
  39. 216
  40. 49

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