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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 652 · 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) 1076 (b) 1181 (c) 1000
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 162 (b) 148 (c) 125
  4. 4.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  5. 5.What is ∛8000? =
  6. 6.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 95 (b) 83 (c) 64
  9. 9.Which of these is a perfect cube? (a) 2197 (b) 2665 (c) 2572
  10. 10.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  13. 13.What is 16³? =
  14. 14.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 607 (b) 551 (c) 512
  18. 18.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  19. 19.What is 15³? =
  20. 20.What is ∛6859? =
  21. 21.What is 2³? =
  22. 22.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  25. 25.What is ∛15625? =
  26. 26.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 1331 (b) 1416 (c) 1349
  28. 28.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛10648? =
  30. 30.What is ∛1728? =
  31. 31.What is ∛27? =
  32. 32.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  34. 34.What is ∛125? =
  35. 35.Which of these is a perfect cube? (a) 3439 (b) 4036 (c) 3375
  36. 36.What is 19³? =
  37. 37.What is ∛3375? =
  38. 38.What is ∛343? =
  39. 39.What is ∛5832? =
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 1000
  2. 4
  3. 125
  4. 4
  5. 20
  6. 18
  7. 9
  8. 64
  9. 2197
  10. 7
  11. 2
  12. 2
  13. 4096
  14. 9
  15. 8
  16. 27
  17. 512
  18. 3
  19. 3375
  20. 19
  21. 8
  22. 27
  23. 5
  24. 4
  25. 25
  26. 16
  27. 1331
  28. 10
  29. 22
  30. 12
  31. 3
  32. 49
  33. 25
  34. 5
  35. 3375
  36. 6859
  37. 15
  38. 7
  39. 18
  40. 64

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