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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 758 · 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 the smallest whole number by which 5400 must be divided to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 125 (b) 180 (c) 158
  3. 3.What is ∛64? =
  4. 4.What is 18³? =
  5. 5.What is 2³? =
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.What is 9³? =
  9. 9.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 15³? =
  13. 13.What is 4³? =
  14. 14.What is ∛125? =
  15. 15.What is ∛343? =
  16. 16.Which of these is a perfect cube? (a) 266 (b) 229 (c) 216
  17. 17.Which of these is a perfect cube? (a) 2874 (b) 2920 (c) 2744
  18. 18.What is 12³? =
  19. 19.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is 8³? =
  21. 21.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  22. 22.What is 10³? =
  23. 23.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 434 (b) 384 (c) 343
  26. 26.What is ∛512? =
  27. 27.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  28. 28.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 41 (b) 34 (c) 27
  30. 30.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛5832? =
  32. 32.Which of these is a perfect cube? (a) 1569 (b) 1331 (c) 1581
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  38. 38.What is 16³? =
  39. 39.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?

Answer key

  1. 25
  2. 125
  3. 4
  4. 5832
  5. 8
  6. 5
  7. 7
  8. 729
  9. 4
  10. 27
  11. 27
  12. 3375
  13. 64
  14. 5
  15. 7
  16. 216
  17. 2744
  18. 1728
  19. 125
  20. 512
  21. 2
  22. 1000
  23. 9
  24. 8
  25. 343
  26. 8
  27. 7
  28. 5
  29. 27
  30. 11
  31. 18
  32. 1331
  33. 17
  34. 216
  35. 4
  36. 25
  37. 3
  38. 4096
  39. 4
  40. 9

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