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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 240 · 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.What is 8³? =
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  4. 4.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  5. 5.What is ∛64? =
  6. 6.Which of these is a perfect cube? (a) 216 (b) 288 (c) 231
  7. 7.What is ∛343? =
  8. 8.What is ∛2197? =
  9. 9.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  10. 10.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛1728? =
  14. 14.Which of these is a perfect cube? (a) 27 (b) 54 (c) 37
  15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  16. 16.What is 15³? =
  17. 17.What is ∛8? =
  18. 18.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.What is 10³? =
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is 6³? =
  23. 23.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  24. 24.What is 16³? =
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 136 (b) 185 (c) 125
  27. 27.What is ∛8000? =
  28. 28.Which of these is a perfect cube? (a) 1331 (b) 1407 (c) 1457
  29. 29.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  32. 32.What is 18³? =
  33. 33.Which of these is a perfect cube? (a) 3801 (b) 3375 (c) 3872
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 519 (b) 512 (c) 527
  36. 36.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 2912 (b) 2744 (c) 3254
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 512
  2. 7
  3. 9
  4. 4
  5. 4
  6. 216
  7. 7
  8. 13
  9. 25
  10. 14
  11. 3
  12. 6
  13. 12
  14. 27
  15. 18
  16. 3375
  17. 2
  18. 9
  19. 2
  20. 1000
  21. 8
  22. 216
  23. 2
  24. 4096
  25. 4
  26. 125
  27. 20
  28. 1331
  29. 49
  30. 64
  31. 7
  32. 5832
  33. 3375
  34. 27
  35. 512
  36. 11
  37. 4
  38. 25
  39. 2744
  40. 8

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