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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 845 · 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 64 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  3. 3.What is ∛12167? =
  4. 4.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 1962 (b) 1728 (c) 1776
  6. 6.What is ∛6859? =
  7. 7.What is 7³? =
  8. 8.What is 4³? =
  9. 9.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.What is 5³? =
  12. 12.What is 3³? =
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 38 (b) 36 (c) 27
  16. 16.Which of these is a perfect cube? (a) 64 (b) 87 (c) 105
  17. 17.Which of these is a perfect cube? (a) 131 (b) 130 (c) 125
  18. 18.Which of these is a perfect cube? (a) 437 (b) 343 (c) 475
  19. 19.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  20. 20.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is 2³? =
  23. 23.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 15³? =
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.What is 10³? =
  27. 27.What is ∛5832? =
  28. 28.What is ∛15625? =
  29. 29.What is 12³? =
  30. 30.Which of these is a perfect cube? (a) 1033 (b) 1000 (c) 1107
  31. 31.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛125? =
  34. 34.What is 16³? =
  35. 35.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.What is 9³? =
  39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 2 must be divided to get a perfect cube?

Answer key

  1. 4
  2. 3
  3. 23
  4. 7
  5. 1728
  6. 19
  7. 343
  8. 64
  9. 4
  10. 18
  11. 125
  12. 27
  13. 13
  14. 6
  15. 27
  16. 64
  17. 125
  18. 343
  19. 5
  20. 125
  21. 8
  22. 8
  23. 64
  24. 3375
  25. 4
  26. 1000
  27. 18
  28. 25
  29. 1728
  30. 1000
  31. 9
  32. 7
  33. 5
  34. 4096
  35. 11
  36. 49
  37. 27
  38. 729
  39. 216
  40. 2

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