← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 234 · 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 17³? =
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.What is 14³? =
  4. 4.What is 18³? =
  5. 5.Which of these is a perfect cube? (a) 170 (b) 149 (c) 125
  6. 6.What is ∛1728? =
  7. 7.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 938 (b) 822 (c) 729
  9. 9.What is 15³? =
  10. 10.Which of these is a perfect cube? (a) 50 (b) 27 (c) 44
  11. 11.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 216 (b) 228 (c) 227
  17. 17.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  18. 18.What is 6³? =
  19. 19.Which of these is a perfect cube? (a) 412 (b) 343 (c) 452
  20. 20.What is ∛216? =
  21. 21.What is 16³? =
  22. 22.What is ∛15625? =
  23. 23.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 1467 (b) 1331 (c) 1359
  29. 29.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  32. 32.What is ∛343? =
  33. 33.What is 8³? =
  34. 34.Which of these is a perfect cube? (a) 64 (b) 103 (c) 69
  35. 35.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  36. 36.What is 12³? =
  37. 37.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  38. 38.What is 4³? =
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4913
  2. 8
  3. 2744
  4. 5832
  5. 125
  6. 12
  7. 3
  8. 729
  9. 3375
  10. 27
  11. 13
  12. 9
  13. 4
  14. 64
  15. 8
  16. 216
  17. 25
  18. 216
  19. 343
  20. 6
  21. 4096
  22. 25
  23. 16
  24. 2
  25. 3
  26. 4
  27. 27
  28. 1331
  29. 27
  30. 2
  31. 7
  32. 7
  33. 512
  34. 64
  35. 2
  36. 1728
  37. 25
  38. 64
  39. 2
  40. 3

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