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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 577 · 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 2197 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛1728? =
  3. 3.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  4. 4.What is 7³? =
  5. 5.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 512 (b) 577 (c) 589
  9. 9.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  13. 13.What is 15³? =
  14. 14.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 2078 (b) 1728 (c) 2084
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is 14³? =
  19. 19.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  20. 20.What is 10³? =
  21. 21.What is ∛10648? =
  22. 22.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 64 (b) 76 (c) 109
  24. 24.What is ∛512? =
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is 11³? =
  30. 30.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 729 (b) 909 (c) 875
  33. 33.Which of these is a perfect cube? (a) 144 (b) 177 (c) 125
  34. 34.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛125? =
  37. 37.What is 2³? =
  38. 38.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  39. 39.What is ∛13824? =
  40. 40.What is 9³? =

Answer key

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

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