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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 325 · 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 1000 cubic cm. How long is each edge (in cm)?
  2. 2.What is 13³? =
  3. 3.What is ∛10648? =
  4. 4.Which of these is a perfect cube? (a) 456 (b) 375 (c) 343
  5. 5.Which of these is a perfect cube? (a) 1028 (b) 1208 (c) 1000
  6. 6.Which of these is a perfect cube? (a) 729 (b) 971 (c) 953
  7. 7.What is 5³? =
  8. 8.What is 17³? =
  9. 9.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  12. 12.What is ∛2197? =
  13. 13.What is ∛4096? =
  14. 14.Which of these is a perfect cube? (a) 46 (b) 27 (c) 48
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is ∛125? =
  17. 17.What is 10³? =
  18. 18.Which of these is a perfect cube? (a) 80 (b) 65 (c) 64
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛512? =
  22. 22.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛8000? =
  24. 24.What is ∛216? =
  25. 25.What is ∛5832? =
  26. 26.What is ∛8? =
  27. 27.Which of these is a perfect cube? (a) 125 (b) 186 (c) 157
  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 ∛64? =
  30. 30.What is 12³? =
  31. 31.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  33. 33.What is 4³? =
  34. 34.Which of these is a perfect cube? (a) 2045 (b) 2109 (c) 1728
  35. 35.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  36. 36.What is 20³? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  39. 39.What is 7³? =
  40. 40.What is 9³? =

Answer key

  1. 10
  2. 2197
  3. 22
  4. 343
  5. 1000
  6. 729
  7. 125
  8. 4913
  9. 2
  10. 4
  11. 49
  12. 13
  13. 16
  14. 27
  15. 216
  16. 5
  17. 1000
  18. 64
  19. 27
  20. 15
  21. 8
  22. 13
  23. 20
  24. 6
  25. 18
  26. 2
  27. 125
  28. 8
  29. 4
  30. 1728
  31. 18
  32. 4
  33. 64
  34. 1728
  35. 7
  36. 8000
  37. 64
  38. 6
  39. 343
  40. 729

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