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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 609 · 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 1728 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 1217 (b) 1294 (c) 1000
  3. 3.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  4. 4.What is ∛125? =
  5. 5.What is ∛8? =
  6. 6.Which of these is a perfect cube? (a) 102 (b) 64 (c) 107
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛27? =
  9. 9.What is 5³? =
  10. 10.Which of these is a perfect cube? (a) 1481 (b) 1331 (c) 1625
  11. 11.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛15625? =
  15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is 18³? =
  17. 17.Which of these is a perfect cube? (a) 774 (b) 794 (c) 729
  18. 18.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 471 (b) 430 (c) 343
  22. 22.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is 19³? =
  24. 24.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  27. 27.What is 13³? =
  28. 28.Which of these is a perfect cube? (a) 40 (b) 27 (c) 45
  29. 29.What is 12³? =
  30. 30.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  33. 33.What is 15³? =
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 2744 (b) 2878 (c) 3081
  36. 36.What is ∛9261? =
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.What is 9³? =
  39. 39.What is 2³? =
  40. 40.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 12
  2. 1000
  3. 2
  4. 5
  5. 2
  6. 64
  7. 216
  8. 3
  9. 125
  10. 1331
  11. 11
  12. 49
  13. 14
  14. 25
  15. 125
  16. 5832
  17. 729
  18. 3
  19. 9
  20. 8
  21. 343
  22. 125
  23. 6859
  24. 25
  25. 64
  26. 18
  27. 2197
  28. 27
  29. 1728
  30. 5
  31. 216
  32. 49
  33. 3375
  34. 216
  35. 2744
  36. 21
  37. 64
  38. 729
  39. 8
  40. 27

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