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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 598 · 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 20³? =
  2. 2.What is 2³? =
  3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  5. 5.What is ∛64? =
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 7³? =
  9. 9.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 151 (b) 191 (c) 125
  12. 12.Which of these is a perfect cube? (a) 1806 (b) 1937 (c) 1728
  13. 13.Which of these is a perfect cube? (a) 512 (b) 571 (c) 592
  14. 14.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛729? =
  16. 16.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is 10³? =
  20. 20.What is 14³? =
  21. 21.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  22. 22.What is ∛10648? =
  23. 23.Which of these is a perfect cube? (a) 3801 (b) 3375 (c) 3746
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛2197? =
  27. 27.What is ∛125? =
  28. 28.Which of these is a perfect cube? (a) 2793 (b) 2744 (c) 3172
  29. 29.What is ∛8? =
  30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  31. 31.What is 19³? =
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  34. 34.What is 8³? =
  35. 35.Which of these is a perfect cube? (a) 2386 (b) 2458 (c) 2197
  36. 36.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  37. 37.What is 5³? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is 17³? =
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 8000
  2. 8
  3. 8
  4. 49
  5. 4
  6. 8
  7. 125
  8. 343
  9. 25
  10. 27
  11. 125
  12. 1728
  13. 512
  14. 11
  15. 9
  16. 3
  17. 64
  18. 14
  19. 1000
  20. 2744
  21. 3
  22. 22
  23. 3375
  24. 27
  25. 4
  26. 13
  27. 5
  28. 2744
  29. 2
  30. 3
  31. 6859
  32. 216
  33. 10
  34. 512
  35. 2197
  36. 4
  37. 125
  38. 8
  39. 4913
  40. 64

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