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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 392 · 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 ∛10648? =
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is 9³? =
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is 18³? =
  6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 39 (b) 47 (c) 27
  9. 9.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  10. 10.What is 13³? =
  11. 11.What is 5³? =
  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 ∛4096? =
  14. 14.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  15. 15.What is 6³? =
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is 3³? =
  18. 18.What is ∛9261? =
  19. 19.Which of these is a perfect cube? (a) 84 (b) 112 (c) 64
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛12167? =
  25. 25.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 312 (b) 250 (c) 216
  29. 29.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 364 (b) 469 (c) 343
  31. 31.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is 2³? =
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is ∛27? =
  39. 39.What is ∛216? =
  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. 22
  2. 12
  3. 729
  4. 13
  5. 5832
  6. 216
  7. 2
  8. 27
  9. 49
  10. 2197
  11. 125
  12. 216
  13. 16
  14. 4
  15. 216
  16. 27
  17. 27
  18. 21
  19. 64
  20. 19
  21. 4
  22. 9
  23. 2
  24. 23
  25. 3
  26. 8
  27. 17
  28. 216
  29. 3
  30. 343
  31. 125
  32. 3
  33. 7
  34. 125
  35. 8
  36. 4
  37. 8
  38. 3
  39. 6
  40. 8

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