← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 932 · 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 cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  3. 3.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 293 (b) 218 (c) 216
  5. 5.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 153 (b) 125 (c) 190
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is ∛125? =
  11. 11.What is 9³? =
  12. 12.What is 20³? =
  13. 13.What is ∛12167? =
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.What is 13³? =
  16. 16.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.What is 6³? =
  20. 20.Which of these is a perfect cube? (a) 577 (b) 512 (c) 583
  21. 21.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  24. 24.What is ∛216? =
  25. 25.Which of these is a perfect cube? (a) 746 (b) 921 (c) 729
  26. 26.What is ∛343? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is ∛5832? =
  29. 29.What is ∛1331? =
  30. 30.Which of these is a perfect cube? (a) 42 (b) 37 (c) 27
  31. 31.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛9261? =
  36. 36.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is ∛729? =
  39. 39.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 2961 (b) 2744 (c) 3275

Answer key

  1. 3
  2. 25
  3. 4
  4. 216
  5. 2
  6. 3
  7. 14
  8. 125
  9. 8
  10. 5
  11. 729
  12. 8000
  13. 23
  14. 13
  15. 2197
  16. 9
  17. 125
  18. 10
  19. 216
  20. 512
  21. 12
  22. 4
  23. 4
  24. 6
  25. 729
  26. 7
  27. 64
  28. 18
  29. 11
  30. 27
  31. 3
  32. 15
  33. 216
  34. 9
  35. 21
  36. 49
  37. 125
  38. 9
  39. 49
  40. 2744

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