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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 41 · 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 cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 773 (b) 729 (c) 759
  4. 4.What is 5³? =
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛8? =
  8. 8.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  9. 9.What is 17³? =
  10. 10.What is ∛8000? =
  11. 11.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.What is 20³? =
  16. 16.What is ∛343? =
  17. 17.What is 4³? =
  18. 18.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.Which of these is a perfect cube? (a) 1269 (b) 1257 (c) 1000
  22. 22.What is 6³? =
  23. 23.Which of these is a perfect cube? (a) 343 (b) 371 (c) 384
  24. 24.What is ∛125? =
  25. 25.Which of these is a perfect cube? (a) 34 (b) 40 (c) 27
  26. 26.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  27. 27.What is ∛512? =
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  35. 35.What is 14³? =
  36. 36.What is ∛2197? =
  37. 37.What is 2³? =
  38. 38.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 2744 (b) 2975 (c) 2805
  40. 40.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 6
  2. 2
  3. 729
  4. 125
  5. 27
  6. 2
  7. 2
  8. 2
  9. 4913
  10. 20
  11. 19
  12. 14
  13. 49
  14. 4
  15. 8000
  16. 7
  17. 64
  18. 4
  19. 15
  20. 27
  21. 1000
  22. 216
  23. 343
  24. 5
  25. 27
  26. 9
  27. 8
  28. 64
  29. 7
  30. 8
  31. 27
  32. 25
  33. 4
  34. 18
  35. 2744
  36. 13
  37. 8
  38. 11
  39. 2744
  40. 125

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