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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 167 · 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 8 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛27? =
  3. 3.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 90 (b) 77 (c) 64
  9. 9.Which of these is a perfect cube? (a) 174 (b) 125 (c) 187
  10. 10.What is ∛125? =
  11. 11.What is 13³? =
  12. 12.What is 3³? =
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 1331 (b) 1469 (c) 1574
  15. 15.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2776 (b) 2753 (c) 2744
  17. 17.Which of these is a perfect cube? (a) 560 (b) 624 (c) 512
  18. 18.What is 11³? =
  19. 19.Which of these is a perfect cube? (a) 2509 (b) 2239 (c) 2197
  20. 20.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  21. 21.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is 5³? =
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is ∛15625? =
  25. 25.What is 8³? =
  26. 26.What is ∛216? =
  27. 27.Which of these is a perfect cube? (a) 43 (b) 27 (c) 39
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is ∛1000? =
  30. 30.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛6859? =
  32. 32.What is 16³? =
  33. 33.What is ∛1331? =
  34. 34.What is ∛8? =
  35. 35.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?

Answer key

  1. 2
  2. 3
  3. 9
  4. 8
  5. 8
  6. 17
  7. 27
  8. 64
  9. 125
  10. 5
  11. 2197
  12. 27
  13. 7
  14. 1331
  15. 5
  16. 2744
  17. 512
  18. 1331
  19. 2197
  20. 5
  21. 27
  22. 125
  23. 64
  24. 25
  25. 512
  26. 6
  27. 27
  28. 216
  29. 10
  30. 10
  31. 19
  32. 4096
  33. 11
  34. 2
  35. 49
  36. 12
  37. 3
  38. 4
  39. 7
  40. 25

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