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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 281 · 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) 64 (b) 110 (c) 99
  2. 2.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 216 (b) 281 (c) 218
  4. 4.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  5. 5.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  6. 6.What is ∛15625? =
  7. 7.Which of these is a perfect cube? (a) 1232 (b) 1000 (c) 1269
  8. 8.Which of these is a perfect cube? (a) 1480 (b) 1602 (c) 1331
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is ∛4096? =
  13. 13.Which of these is a perfect cube? (a) 525 (b) 512 (c) 632
  14. 14.What is ∛12167? =
  15. 15.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  16. 16.What is 3³? =
  17. 17.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 343 (b) 371 (c) 391
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is 20³? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is 11³? =
  26. 26.What is 8³? =
  27. 27.Which of these is a perfect cube? (a) 125 (b) 174 (c) 162
  28. 28.What is ∛216? =
  29. 29.Which of these is a perfect cube? (a) 2044 (b) 1728 (c) 1963
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛8? =
  33. 33.What is 2³? =
  34. 34.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 2627 (b) 2197 (c) 2677
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 14³? =
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 64
  2. 3
  3. 216
  4. 3
  5. 49
  6. 25
  7. 1000
  8. 1331
  9. 4
  10. 3
  11. 125
  12. 16
  13. 512
  14. 23
  15. 49
  16. 27
  17. 9
  18. 49
  19. 3
  20. 343
  21. 27
  22. 64
  23. 8000
  24. 64
  25. 1331
  26. 512
  27. 125
  28. 6
  29. 1728
  30. 216
  31. 20
  32. 2
  33. 8
  34. 18
  35. 14
  36. 2197
  37. 216
  38. 27
  39. 2744
  40. 216

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