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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 599 · 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 ∛64? =
  2. 2.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 2400 (b) 2524 (c) 2197
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  6. 6.What is ∛8000? =
  7. 7.What is 20³? =
  8. 8.What is 7³? =
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛512? =
  13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 3375 (b) 3518 (c) 3691
  15. 15.What is ∛5832? =
  16. 16.Which of these is a perfect cube? (a) 842 (b) 970 (c) 729
  17. 17.Which of these is a perfect cube? (a) 29 (b) 42 (c) 27
  18. 18.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛216? =
  21. 21.Which of these is a perfect cube? (a) 125 (b) 153 (c) 145
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  24. 24.What is 16³? =
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is ∛4096? =
  27. 27.What is ∛3375? =
  28. 28.What is ∛15625? =
  29. 29.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  30. 30.What is 4³? =
  31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛2744? =
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  35. 35.What is ∛12167? =
  36. 36.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  38. 38.What is 3³? =
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 4
  2. 49
  3. 2197
  4. 64
  5. 4
  6. 20
  7. 8000
  8. 343
  9. 64
  10. 27
  11. 14
  12. 8
  13. 27
  14. 3375
  15. 18
  16. 729
  17. 27
  18. 25
  19. 19
  20. 6
  21. 125
  22. 8
  23. 18
  24. 4096
  25. 216
  26. 16
  27. 15
  28. 25
  29. 2
  30. 64
  31. 3
  32. 14
  33. 8
  34. 5
  35. 23
  36. 15
  37. 25
  38. 27
  39. 20
  40. 216

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