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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 420 · 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.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is ∛64? =
  4. 4.Which of these is a perfect cube? (a) 35 (b) 27 (c) 28
  5. 5.What is 5³? =
  6. 6.Which of these is a perfect cube? (a) 530 (b) 512 (c) 662
  7. 7.What is 12³? =
  8. 8.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  9. 9.What is 13³? =
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 1331 (b) 1593 (c) 1650
  12. 12.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.Which of these is a perfect cube? (a) 1052 (b) 1294 (c) 1000
  14. 14.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 316 (b) 251 (c) 216
  18. 18.Which of these is a perfect cube? (a) 4046 (b) 3375 (c) 3631
  19. 19.What is ∛15625? =
  20. 20.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.What is 14³? =
  25. 25.What is 9³? =
  26. 26.Which of these is a perfect cube? (a) 142 (b) 134 (c) 125
  27. 27.What is 17³? =
  28. 28.What is ∛9261? =
  29. 29.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  31. 31.What is 3³? =
  32. 32.What is 7³? =
  33. 33.Which of these is a perfect cube? (a) 1895 (b) 2088 (c) 1728
  34. 34.Which of these is a perfect cube? (a) 2545 (b) 2370 (c) 2197
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is ∛6859? =
  40. 40.What is the smallest whole number by which 32 must be divided to get a perfect cube?

Answer key

  1. 18
  2. 125
  3. 4
  4. 27
  5. 125
  6. 512
  7. 1728
  8. 3
  9. 2197
  10. 64
  11. 1331
  12. 125
  13. 1000
  14. 125
  15. 8
  16. 2
  17. 216
  18. 3375
  19. 25
  20. 8
  21. 14
  22. 64
  23. 10
  24. 2744
  25. 729
  26. 125
  27. 4913
  28. 21
  29. 16
  30. 7
  31. 27
  32. 343
  33. 1728
  34. 2197
  35. 6
  36. 4
  37. 5
  38. 216
  39. 19
  40. 4

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