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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 34 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is 3³? =
  3. 3.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is ∛3375? =
  10. 10.What is ∛64? =
  11. 11.Which of these is a perfect cube? (a) 512 (b) 527 (c) 539
  12. 12.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  13. 13.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 316 (b) 265 (c) 216
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 1908 (b) 1814 (c) 1728
  18. 18.What is 2³? =
  19. 19.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  20. 20.What is 16³? =
  21. 21.What is 20³? =
  22. 22.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛512? =
  25. 25.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  27. 27.What is 11³? =
  28. 28.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  30. 30.What is ∛5832? =
  31. 31.What is ∛1000? =
  32. 32.What is ∛13824? =
  33. 33.Which of these is a perfect cube? (a) 91 (b) 64 (c) 102
  34. 34.What is 15³? =
  35. 35.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  36. 36.What is 12³? =
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.What is 18³? =
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛15625? =

Answer key

  1. 11
  2. 27
  3. 9
  4. 8
  5. 4
  6. 20
  7. 16
  8. 125
  9. 15
  10. 4
  11. 512
  12. 49
  13. 12
  14. 216
  15. 27
  16. 3
  17. 1728
  18. 8
  19. 7
  20. 4096
  21. 8000
  22. 5
  23. 19
  24. 8
  25. 4
  26. 2
  27. 1331
  28. 2
  29. 7
  30. 18
  31. 10
  32. 24
  33. 64
  34. 3375
  35. 4
  36. 1728
  37. 10
  38. 5832
  39. 17
  40. 25

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