← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 44 · 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 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is 15³? =
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.What is 20³? =
  5. 5.What is ∛216? =
  6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛2744? =
  10. 10.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  13. 13.What is 6³? =
  14. 14.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  15. 15.What is 10³? =
  16. 16.What is ∛4913? =
  17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  18. 18.What is ∛64? =
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is ∛15625? =
  21. 21.Which of these is a perfect cube? (a) 46 (b) 41 (c) 27
  22. 22.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  23. 23.What is 3³? =
  24. 24.Which of these is a perfect cube? (a) 216 (b) 217 (c) 306
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  27. 27.What is 19³? =
  28. 28.What is ∛12167? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is 8³? =
  32. 32.Which of these is a perfect cube? (a) 729 (b) 891 (c) 788
  33. 33.What is 11³? =
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛9261? =
  36. 36.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 2383 (b) 2197 (c) 2451
  39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  40. 40.What is 14³? =

Answer key

  1. 8
  2. 3375
  3. 14
  4. 8000
  5. 6
  6. 27
  7. 8
  8. 6
  9. 14
  10. 5
  11. 12
  12. 3
  13. 216
  14. 3
  15. 1000
  16. 17
  17. 49
  18. 4
  19. 27
  20. 25
  21. 27
  22. 4
  23. 27
  24. 216
  25. 125
  26. 3
  27. 6859
  28. 23
  29. 216
  30. 20
  31. 512
  32. 729
  33. 1331
  34. 15
  35. 21
  36. 25
  37. 13
  38. 2197
  39. 7
  40. 2744

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