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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 172 · 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 16³? =
  2. 2.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 295 (b) 321 (c) 216
  4. 4.What is 20³? =
  5. 5.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  6. 6.What is 8³? =
  7. 7.What is ∛9261? =
  8. 8.What is ∛8000? =
  9. 9.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛4913? =
  12. 12.What is 4³? =
  13. 13.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is ∛5832? =
  17. 17.What is ∛64? =
  18. 18.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 541 (b) 512 (c) 630
  20. 20.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  22. 22.What is 6³? =
  23. 23.What is 2³? =
  24. 24.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  25. 25.What is 12³? =
  26. 26.Which of these is a perfect cube? (a) 343 (b) 475 (c) 378
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛216? =
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.Which of these is a perfect cube? (a) 2744 (b) 3043 (c) 3298
  31. 31.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  33. 33.What is 7³? =
  34. 34.What is ∛512? =
  35. 35.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1728 (b) 2003 (c) 2027
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is 18³? =
  39. 39.What is 13³? =
  40. 40.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4096
  2. 15
  3. 216
  4. 8000
  5. 12
  6. 512
  7. 21
  8. 20
  9. 25
  10. 216
  11. 17
  12. 64
  13. 27
  14. 4
  15. 27
  16. 18
  17. 4
  18. 3
  19. 512
  20. 2
  21. 25
  22. 216
  23. 8
  24. 4
  25. 1728
  26. 343
  27. 216
  28. 6
  29. 8
  30. 2744
  31. 5
  32. 2
  33. 343
  34. 8
  35. 5
  36. 1728
  37. 17
  38. 5832
  39. 2197
  40. 8

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