← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 501 · 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 2197 cubic cm. How long is each edge (in cm)?
  2. 2.What is 17³? =
  3. 3.What is 3³? =
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  9. 9.What is ∛6859? =
  10. 10.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  11. 11.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  13. 13.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 196 (b) 136 (c) 125
  16. 16.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  17. 17.What is 6³? =
  18. 18.What is ∛4096? =
  19. 19.What is ∛216? =
  20. 20.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  22. 22.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 27 (b) 32 (c) 44
  24. 24.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  25. 25.What is ∛8000? =
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.Which of these is a perfect cube? (a) 528 (b) 512 (c) 569
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 1628 (b) 1394 (c) 1331
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 345 (b) 352 (c) 343
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is ∛512? =
  34. 34.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 3211 (b) 3005 (c) 2744
  36. 36.What is 10³? =
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is ∛2744? =
  39. 39.Which of these is a perfect cube? (a) 64 (b) 105 (c) 74
  40. 40.What is the smallest whole number by which 54 must be divided to get a perfect cube?

Answer key

  1. 13
  2. 4913
  3. 27
  4. 125
  5. 64
  6. 8
  7. 9
  8. 49
  9. 19
  10. 4
  11. 2
  12. 2
  13. 25
  14. 3
  15. 125
  16. 49
  17. 216
  18. 16
  19. 6
  20. 14
  21. 2
  22. 25
  23. 27
  24. 9
  25. 20
  26. 125
  27. 512
  28. 8
  29. 1331
  30. 64
  31. 343
  32. 216
  33. 8
  34. 6
  35. 2744
  36. 1000
  37. 27
  38. 14
  39. 64
  40. 2

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