← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 540 · 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 ∛125? =
  2. 2.What is 5³? =
  3. 3.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is ∛216? =
  5. 5.What is 17³? =
  6. 6.What is 15³? =
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  9. 9.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  10. 10.What is ∛8? =
  11. 11.What is 12³? =
  12. 12.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is 18³? =
  14. 14.What is 16³? =
  15. 15.Which of these is a perfect cube? (a) 1354 (b) 1331 (c) 1402
  16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  21. 21.Which of these is a perfect cube? (a) 216 (b) 288 (c) 287
  22. 22.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  27. 27.What is 3³? =
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  30. 30.What is 6³? =
  31. 31.What is ∛4096? =
  32. 32.What is 10³? =
  33. 33.Which of these is a perfect cube? (a) 3131 (b) 2744 (c) 3312
  34. 34.Which of these is a perfect cube? (a) 729 (b) 790 (c) 741
  35. 35.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  39. 39.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  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. 5
  2. 125
  3. 125
  4. 6
  5. 4913
  6. 3375
  7. 8
  8. 2
  9. 25
  10. 2
  11. 1728
  12. 8
  13. 5832
  14. 4096
  15. 1331
  16. 216
  17. 8
  18. 11
  19. 216
  20. 64
  21. 216
  22. 49
  23. 10
  24. 64
  25. 9
  26. 25
  27. 27
  28. 3
  29. 20
  30. 216
  31. 16
  32. 1000
  33. 2744
  34. 729
  35. 9
  36. 64
  37. 64
  38. 25
  39. 14
  40. 8

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