← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 159 · 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 the smallest whole number by which 135 must be multiplied to get a perfect cube?
  2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.What is 4³? =
  5. 5.Which of these is a perfect cube? (a) 217 (b) 322 (c) 216
  6. 6.What is 10³? =
  7. 7.What is ∛125? =
  8. 8.What is ∛64? =
  9. 9.What is ∛12167? =
  10. 10.Which of these is a perfect cube? (a) 3867 (b) 3375 (c) 3914
  11. 11.What is 18³? =
  12. 12.What is ∛343? =
  13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛216? =
  15. 15.What is ∛10648? =
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 1495 (b) 1331 (c) 1558
  18. 18.Which of these is a perfect cube? (a) 1728 (b) 1840 (c) 1830
  19. 19.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  20. 20.What is ∛1000? =
  21. 21.Which of these is a perfect cube? (a) 2197 (b) 2495 (c) 2293
  22. 22.What is ∛1728? =
  23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  24. 24.What is 2³? =
  25. 25.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  29. 29.What is 17³? =
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  32. 32.What is 8³? =
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛5832? =
  36. 36.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛512? =
  39. 39.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 25
  2. 20
  3. 8
  4. 64
  5. 216
  6. 1000
  7. 5
  8. 4
  9. 23
  10. 3375
  11. 5832
  12. 7
  13. 14
  14. 6
  15. 22
  16. 18
  17. 1331
  18. 1728
  19. 7
  20. 10
  21. 2197
  22. 12
  23. 4
  24. 8
  25. 27
  26. 13
  27. 15
  28. 5
  29. 4913
  30. 8
  31. 9
  32. 512
  33. 11
  34. 17
  35. 18
  36. 5
  37. 12
  38. 8
  39. 9
  40. 16

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets