← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 736 · 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 the smallest whole number by which 5 must be multiplied to get a perfect cube?
  3. 3.A big cube of edge 20 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 3136 must be multiplied to get a perfect cube?
  5. 5.What is 19³? =
  6. 6.What is 17³? =
  7. 7.What is ∛5832? =
  8. 8.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  10. 10.What is 6³? =
  11. 11.What is 11³? =
  12. 12.Which of these is a perfect cube? (a) 100 (b) 64 (c) 106
  13. 13.What is ∛512? =
  14. 14.What is ∛64? =
  15. 15.What is 16³? =
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.What is ∛9261? =
  18. 18.Which of these is a perfect cube? (a) 180 (b) 125 (c) 130
  19. 19.Which of these is a perfect cube? (a) 2197 (b) 2605 (c) 2287
  20. 20.Which of these is a perfect cube? (a) 796 (b) 960 (c) 729
  21. 21.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 27 (b) 37 (c) 52
  25. 25.What is ∛216? =
  26. 26.What is ∛2197? =
  27. 27.What is ∛1331? =
  28. 28.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  30. 30.What is 5³? =
  31. 31.What is ∛13824? =
  32. 32.What is ∛4096? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 642 (b) 512 (c) 555
  35. 35.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  36. 36.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛12167? =

Answer key

  1. 64
  2. 25
  3. 125
  4. 7
  5. 6859
  6. 4913
  7. 18
  8. 2
  9. 10
  10. 216
  11. 1331
  12. 64
  13. 8
  14. 4
  15. 4096
  16. 8
  17. 21
  18. 125
  19. 2197
  20. 729
  21. 5
  22. 216
  23. 4
  24. 27
  25. 6
  26. 13
  27. 11
  28. 4
  29. 15
  30. 125
  31. 24
  32. 16
  33. 64
  34. 512
  35. 49
  36. 64
  37. 5
  38. 6
  39. 14
  40. 23

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