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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 611 · 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) 1331 (b) 1389 (c) 1644
  2. 2.What is ∛64? =
  3. 3.What is 8³? =
  4. 4.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  7. 7.What is 7³? =
  8. 8.What is 2³? =
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 2744 (b) 2825 (c) 2770
  13. 13.What is 12³? =
  14. 14.What is ∛27? =
  15. 15.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 303 (b) 216 (c) 221
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  21. 21.What is 11³? =
  22. 22.What is ∛3375? =
  23. 23.What is 19³? =
  24. 24.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 399 (b) 343 (c) 352
  28. 28.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  30. 30.What is ∛216? =
  31. 31.What is 18³? =
  32. 32.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is 5³? =
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 51 (b) 27 (c) 37
  37. 37.What is 15³? =
  38. 38.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 74 (b) 99 (c) 64

Answer key

  1. 1331
  2. 4
  3. 512
  4. 17
  5. 125
  6. 49
  7. 343
  8. 8
  9. 27
  10. 5
  11. 7
  12. 2744
  13. 1728
  14. 3
  15. 7
  16. 15
  17. 216
  18. 8
  19. 20
  20. 9
  21. 1331
  22. 15
  23. 6859
  24. 9
  25. 64
  26. 7
  27. 343
  28. 3
  29. 9
  30. 6
  31. 5832
  32. 4
  33. 216
  34. 125
  35. 2
  36. 27
  37. 3375
  38. 49
  39. 9
  40. 64

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