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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 174 · 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.Which of these is a perfect cube? (a) 2197 (b) 2242 (c) 2275
  2. 2.What is 11³? =
  3. 3.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  4. 4.What is 2³? =
  5. 5.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 405 (b) 355 (c) 343
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  10. 10.What is 13³? =
  11. 11.What is ∛64? =
  12. 12.Which of these is a perfect cube? (a) 1075 (b) 1000 (c) 1173
  13. 13.What is ∛729? =
  14. 14.What is 4³? =
  15. 15.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is 8³? =
  18. 18.What is 18³? =
  19. 19.What is 12³? =
  20. 20.Which of these is a perfect cube? (a) 840 (b) 729 (c) 904
  21. 21.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  24. 24.What is 20³? =
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛2197? =
  27. 27.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  28. 28.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  29. 29.What is 10³? =
  30. 30.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 68 (b) 87 (c) 64
  33. 33.What is ∛15625? =
  34. 34.Which of these is a perfect cube? (a) 216 (b) 288 (c) 281
  35. 35.Which of these is a perfect cube? (a) 45 (b) 36 (c) 27
  36. 36.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  38. 38.What is ∛12167? =
  39. 39.What is 9³? =
  40. 40.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?

Answer key

  1. 2197
  2. 1331
  3. 2
  4. 8
  5. 216
  6. 12
  7. 343
  8. 64
  9. 25
  10. 2197
  11. 4
  12. 1000
  13. 9
  14. 64
  15. 9
  16. 8
  17. 512
  18. 5832
  19. 1728
  20. 729
  21. 7
  22. 125
  23. 9
  24. 8000
  25. 27
  26. 13
  27. 9
  28. 7
  29. 1000
  30. 2
  31. 17
  32. 64
  33. 25
  34. 216
  35. 27
  36. 25
  37. 7
  38. 23
  39. 729
  40. 9

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