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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 418 · 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 big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 488 (b) 343 (c) 469
  4. 4.Which of these is a perfect cube? (a) 1000 (b) 1070 (c) 1140
  5. 5.Which of these is a perfect cube? (a) 512 (b) 596 (c) 616
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  8. 8.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is 18³? =
  10. 10.What is 10³? =
  11. 11.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is ∛216? =
  13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  16. 16.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  17. 17.What is 13³? =
  18. 18.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  20. 20.What is 9³? =
  21. 21.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  22. 22.A big cube of edge 6 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 576 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 3668 (b) 3375 (c) 3544
  27. 27.What is 2³? =
  28. 28.Which of these is a perfect cube? (a) 960 (b) 729 (c) 855
  29. 29.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 2744 (b) 3250 (c) 2869
  32. 32.Which of these is a perfect cube? (a) 1506 (b) 1419 (c) 1331
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  35. 35.What is ∛512? =
  36. 36.What is ∛1000? =
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 216 (b) 310 (c) 300
  40. 40.What is ∛13824? =

Answer key

  1. 216
  2. 2
  3. 343
  4. 1000
  5. 512
  6. 10
  7. 25
  8. 8
  9. 5832
  10. 1000
  11. 8
  12. 6
  13. 16
  14. 4
  15. 49
  16. 49
  17. 2197
  18. 7
  19. 7
  20. 729
  21. 3
  22. 8
  23. 9
  24. 3
  25. 3
  26. 3375
  27. 8
  28. 729
  29. 25
  30. 27
  31. 2744
  32. 1331
  33. 17
  34. 49
  35. 8
  36. 10
  37. 13
  38. 9
  39. 216
  40. 24

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