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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 492 · 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 1728 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 64 (b) 69 (c) 91
  3. 3.What is ∛729? =
  4. 4.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  5. 5.What is ∛1000? =
  6. 6.What is 13³? =
  7. 7.What is ∛8000? =
  8. 8.What is ∛64? =
  9. 9.What is 16³? =
  10. 10.Which of these is a perfect cube? (a) 360 (b) 416 (c) 343
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.What is 3³? =
  14. 14.What is 5³? =
  15. 15.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  19. 19.What is ∛5832? =
  20. 20.What is ∛15625? =
  21. 21.Which of these is a perfect cube? (a) 1334 (b) 1416 (c) 1331
  22. 22.What is 6³? =
  23. 23.What is ∛6859? =
  24. 24.Which of these is a perfect cube? (a) 771 (b) 729 (c) 861
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 7³? =
  29. 29.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  33. 33.What is 11³? =
  34. 34.What is ∛27? =
  35. 35.What is ∛8? =
  36. 36.Which of these is a perfect cube? (a) 50 (b) 29 (c) 27
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  39. 39.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛1331? =

Answer key

  1. 12
  2. 64
  3. 9
  4. 49
  5. 10
  6. 2197
  7. 20
  8. 4
  9. 4096
  10. 343
  11. 8
  12. 4
  13. 27
  14. 125
  15. 2
  16. 125
  17. 27
  18. 4
  19. 18
  20. 25
  21. 1331
  22. 216
  23. 19
  24. 729
  25. 2
  26. 5
  27. 8
  28. 343
  29. 27
  30. 27
  31. 4
  32. 19
  33. 1331
  34. 3
  35. 2
  36. 27
  37. 13
  38. 4
  39. 5
  40. 11

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