← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 578 · 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 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 125 (b) 176 (c) 153
  4. 4.What is ∛4913? =
  5. 5.What is 10³? =
  6. 6.Which of these is a perfect cube? (a) 1361 (b) 1464 (c) 1331
  7. 7.What is 4³? =
  8. 8.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  9. 9.What is 8³? =
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 2235 (b) 2361 (c) 2197
  12. 12.What is ∛10648? =
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛6859? =
  15. 15.What is 6³? =
  16. 16.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛27? =
  19. 19.What is 20³? =
  20. 20.Which of these is a perfect cube? (a) 278 (b) 216 (c) 245
  21. 21.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is 13³? =
  24. 24.What is 7³? =
  25. 25.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  26. 26.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 27 (b) 40 (c) 37
  29. 29.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  30. 30.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is 18³? =
  33. 33.What is ∛3375? =
  34. 34.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 1728 (b) 2008 (c) 1824
  36. 36.What is ∛512? =
  37. 37.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛216? =
  40. 40.What is 11³? =

Answer key

  1. 8
  2. 17
  3. 125
  4. 17
  5. 1000
  6. 1331
  7. 64
  8. 14
  9. 512
  10. 8
  11. 2197
  12. 22
  13. 18
  14. 19
  15. 216
  16. 9
  17. 6
  18. 3
  19. 8000
  20. 216
  21. 2
  22. 15
  23. 2197
  24. 343
  25. 4
  26. 125
  27. 10
  28. 27
  29. 4
  30. 12
  31. 64
  32. 5832
  33. 15
  34. 25
  35. 1728
  36. 8
  37. 49
  38. 216
  39. 6
  40. 1331

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