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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 797 · 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 the smallest whole number by which 200 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 3375 (b) 3811 (c) 3907
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is ∛9261? =
  5. 5.Which of these is a perfect cube? (a) 54 (b) 34 (c) 27
  6. 6.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛8? =
  8. 8.What is 12³? =
  9. 9.What is 4³? =
  10. 10.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 2197 (b) 2652 (c) 2428
  14. 14.Which of these is a perfect cube? (a) 622 (b) 603 (c) 512
  15. 15.What is ∛1331? =
  16. 16.What is 8³? =
  17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 369 (b) 352 (c) 343
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 1000 (b) 1195 (c) 1070
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is 3³? =
  30. 30.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  31. 31.What is ∛15625? =
  32. 32.Which of these is a perfect cube? (a) 243 (b) 216 (c) 257
  33. 33.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 2022 (b) 1850 (c) 1728
  35. 35.What is ∛10648? =
  36. 36.What is 6³? =
  37. 37.What is ∛27? =
  38. 38.What is ∛1728? =
  39. 39.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 135 must be divided to get a perfect cube?

Answer key

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

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