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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 533 · 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 ∛10648? =
  2. 2.What is ∛15625? =
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛729? =
  5. 5.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  7. 7.What is 6³? =
  8. 8.Which of these is a perfect cube? (a) 50 (b) 28 (c) 27
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  13. 13.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛2197? =
  17. 17.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  19. 19.What is ∛125? =
  20. 20.What is ∛1728? =
  21. 21.What is ∛5832? =
  22. 22.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  25. 25.What is 16³? =
  26. 26.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  27. 27.What is 19³? =
  28. 28.Which of these is a perfect cube? (a) 3538 (b) 3571 (c) 3375
  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.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛8? =
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is 11³? =
  36. 36.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 7³? =
  40. 40.What is 2³? =

Answer key

  1. 22
  2. 25
  3. 6
  4. 9
  5. 25
  6. 7
  7. 216
  8. 27
  9. 216
  10. 125
  11. 4
  12. 2
  13. 7
  14. 216
  15. 13
  16. 13
  17. 12
  18. 7
  19. 5
  20. 12
  21. 18
  22. 16
  23. 11
  24. 4
  25. 4096
  26. 5
  27. 6859
  28. 3375
  29. 27
  30. 2
  31. 5
  32. 18
  33. 2
  34. 15
  35. 1331
  36. 2
  37. 10
  38. 216
  39. 343
  40. 8

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