← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 888 · 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 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is 6³? =
  4. 4.What is ∛8000? =
  5. 5.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  6. 6.What is ∛13824? =
  7. 7.What is 10³? =
  8. 8.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 1300 (b) 1000 (c) 1089
  11. 11.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is ∛12167? =
  14. 14.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 48 (b) 54 (c) 27
  16. 16.What is ∛5832? =
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  20. 20.What is 3³? =
  21. 21.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is ∛4096? =
  25. 25.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛6859? =
  33. 33.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  34. 34.What is ∛1728? =
  35. 35.Which of these is a perfect cube? (a) 69 (b) 76 (c) 64
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛15625? =
  40. 40.Which of these is a perfect cube? (a) 3993 (b) 3375 (c) 3464

Answer key

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

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