← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 37 · 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 ∛1331? =
  2. 2.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 1431 (b) 1331 (c) 1429
  4. 4.What is ∛5832? =
  5. 5.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛1728? =
  7. 7.Which of these is a perfect cube? (a) 3375 (b) 3979 (c) 3501
  8. 8.What is 14³? =
  9. 9.What is ∛4096? =
  10. 10.Which of these is a perfect cube? (a) 1814 (b) 1833 (c) 1728
  11. 11.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  14. 14.What is 10³? =
  15. 15.Which of these is a perfect cube? (a) 2553 (b) 2290 (c) 2197
  16. 16.What is 2³? =
  17. 17.Which of these is a perfect cube? (a) 685 (b) 512 (c) 578
  18. 18.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 51 (b) 36 (c) 27
  22. 22.What is 15³? =
  23. 23.What is 16³? =
  24. 24.What is ∛8? =
  25. 25.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 64 (b) 101 (c) 100
  27. 27.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛216? =
  29. 29.Which of these is a perfect cube? (a) 216 (b) 219 (c) 257
  30. 30.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  31. 31.What is 13³? =
  32. 32.What is ∛1000? =
  33. 33.What is ∛3375? =
  34. 34.What is ∛15625? =
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  40. 40.What is ∛512? =

Answer key

  1. 11
  2. 10
  3. 1331
  4. 18
  5. 17
  6. 12
  7. 3375
  8. 2744
  9. 16
  10. 1728
  11. 11
  12. 216
  13. 2
  14. 1000
  15. 2197
  16. 8
  17. 512
  18. 4
  19. 2
  20. 2
  21. 27
  22. 3375
  23. 4096
  24. 2
  25. 3
  26. 64
  27. 12
  28. 6
  29. 216
  30. 3
  31. 2197
  32. 10
  33. 15
  34. 25
  35. 6
  36. 9
  37. 125
  38. 49
  39. 4
  40. 8

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