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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 304 · 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) 408 (b) 468 (c) 343
  2. 2.What is 11³? =
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛10648? =
  5. 5.What is ∛2197? =
  6. 6.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  9. 9.What is 14³? =
  10. 10.Which of these is a perfect cube? (a) 147 (b) 125 (c) 196
  11. 11.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 2824 (b) 2756 (c) 2744
  13. 13.What is 19³? =
  14. 14.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  16. 16.What is 8³? =
  17. 17.Which of these is a perfect cube? (a) 1122 (b) 1000 (c) 1194
  18. 18.Which of these is a perfect cube? (a) 298 (b) 263 (c) 216
  19. 19.Which of these is a perfect cube? (a) 1607 (b) 1331 (c) 1437
  20. 20.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  21. 21.What is ∛1728? =
  22. 22.What is 6³? =
  23. 23.What is 2³? =
  24. 24.What is 9³? =
  25. 25.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is 16³? =
  30. 30.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛125? =
  35. 35.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  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.Which of these is a perfect cube? (a) 64 (b) 67 (c) 81
  40. 40.Which of these is a perfect cube? (a) 2257 (b) 2197 (c) 2237

Answer key

  1. 343
  2. 1331
  3. 11
  4. 22
  5. 13
  6. 3
  7. 5
  8. 4
  9. 2744
  10. 125
  11. 10
  12. 2744
  13. 6859
  14. 6
  15. 2
  16. 512
  17. 1000
  18. 216
  19. 1331
  20. 5
  21. 12
  22. 216
  23. 8
  24. 729
  25. 17
  26. 4
  27. 125
  28. 8
  29. 4096
  30. 2
  31. 2
  32. 4
  33. 8
  34. 5
  35. 3
  36. 27
  37. 125
  38. 216
  39. 64
  40. 2197

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