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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 350 · 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 512 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 2744 (b) 3075 (c) 2879
  4. 4.What is 7³? =
  5. 5.Which of these is a perfect cube? (a) 2197 (b) 2336 (c) 2442
  6. 6.A big cube of edge 12 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 576 must be divided to get a perfect cube?
  8. 8.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  10. 10.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 248 (b) 216 (c) 233
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛64? =
  15. 15.What is ∛125? =
  16. 16.Which of these is a perfect cube? (a) 1728 (b) 1893 (c) 1945
  17. 17.What is ∛10648? =
  18. 18.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  19. 19.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  24. 24.What is 3³? =
  25. 25.What is ∛2197? =
  26. 26.Which of these is a perfect cube? (a) 512 (b) 630 (c) 680
  27. 27.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  28. 28.What is ∛512? =
  29. 29.Which of these is a perfect cube? (a) 196 (b) 125 (c) 199
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 3742 (b) 3902 (c) 3375
  32. 32.Which of these is a perfect cube? (a) 27 (b) 40 (c) 37
  33. 33.What is 10³? =
  34. 34.What is 13³? =
  35. 35.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  37. 37.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  39. 39.What is ∛8000? =
  40. 40.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?

Answer key

  1. 8
  2. 7
  3. 2744
  4. 343
  5. 2197
  6. 27
  7. 9
  8. 64
  9. 49
  10. 7
  11. 64
  12. 216
  13. 18
  14. 4
  15. 5
  16. 1728
  17. 22
  18. 17
  19. 3
  20. 216
  21. 19
  22. 4
  23. 49
  24. 27
  25. 13
  26. 512
  27. 3
  28. 8
  29. 125
  30. 8
  31. 3375
  32. 27
  33. 1000
  34. 2197
  35. 15
  36. 4
  37. 9
  38. 7
  39. 20
  40. 3

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