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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 848 · 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 15³? =
  2. 2.What is 16³? =
  3. 3.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  4. 4.What is ∛4096? =
  5. 5.What is 4³? =
  6. 6.What is ∛8000? =
  7. 7.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 2³? =
  9. 9.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛15625? =
  12. 12.Which of these is a perfect cube? (a) 543 (b) 579 (c) 512
  13. 13.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  14. 14.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 280 (b) 219 (c) 216
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛9261? =
  18. 18.Which of these is a perfect cube? (a) 884 (b) 865 (c) 729
  19. 19.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 3565 (b) 4027 (c) 3375
  22. 22.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is 6³? =
  25. 25.What is 12³? =
  26. 26.Which of these is a perfect cube? (a) 1465 (b) 1331 (c) 1390
  27. 27.What is 9³? =
  28. 28.What is 19³? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is ∛3375? =
  31. 31.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 68 (b) 64 (c) 103
  34. 34.What is ∛512? =
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is ∛12167? =
  38. 38.What is ∛216? =
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?

Answer key

  1. 3375
  2. 4096
  3. 5
  4. 16
  5. 64
  6. 20
  7. 216
  8. 8
  9. 2
  10. 8
  11. 25
  12. 512
  13. 2
  14. 64
  15. 216
  16. 9
  17. 21
  18. 729
  19. 3
  20. 13
  21. 3375
  22. 4
  23. 64
  24. 216
  25. 1728
  26. 1331
  27. 729
  28. 6859
  29. 64
  30. 15
  31. 7
  32. 27
  33. 64
  34. 8
  35. 216
  36. 125
  37. 23
  38. 6
  39. 6
  40. 5

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