← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 489 · 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.Which of these is a perfect cube? (a) 2239 (b) 2197 (c) 2428
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 2744 (b) 2875 (c) 3086
  6. 6.Which of these is a perfect cube? (a) 3765 (b) 3538 (c) 3375
  7. 7.What is 2³? =
  8. 8.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  9. 9.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  10. 10.What is ∛1728? =
  11. 11.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 1000 (b) 1004 (c) 1288
  13. 13.Which of these is a perfect cube? (a) 729 (b) 796 (c) 967
  14. 14.Which of these is a perfect cube? (a) 35 (b) 54 (c) 27
  15. 15.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛4913? =
  18. 18.What is ∛6859? =
  19. 19.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛729? =
  23. 23.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛5832? =
  25. 25.Which of these is a perfect cube? (a) 95 (b) 64 (c) 111
  26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  28. 28.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  34. 34.What is 9³? =
  35. 35.What is 15³? =
  36. 36.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.What is 19³? =
  39. 39.Which of these is a perfect cube? (a) 512 (b) 515 (c) 602
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 2197
  2. 12
  3. 15
  4. 4
  5. 2744
  6. 3375
  7. 8
  8. 4
  9. 3
  10. 12
  11. 49
  12. 1000
  13. 729
  14. 27
  15. 3
  16. 8
  17. 17
  18. 19
  19. 20
  20. 4
  21. 7
  22. 9
  23. 16
  24. 18
  25. 64
  26. 17
  27. 4
  28. 3
  29. 2
  30. 8
  31. 8
  32. 5
  33. 49
  34. 729
  35. 3375
  36. 25
  37. 10
  38. 6859
  39. 512
  40. 8

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