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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 617 · 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.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 346 (b) 409 (c) 343
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 78 (b) 82 (c) 64
  8. 8.Which of these is a perfect cube? (a) 298 (b) 216 (c) 314
  9. 9.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 18³? =
  15. 15.What is 12³? =
  16. 16.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 896 (b) 950 (c) 729
  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 192 must be multiplied to get a perfect cube?
  20. 20.What is ∛512? =
  21. 21.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  22. 22.What is 11³? =
  23. 23.Which of these is a perfect cube? (a) 2199 (b) 2470 (c) 2197
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.What is 2³? =
  27. 27.What is 6³? =
  28. 28.Which of these is a perfect cube? (a) 2889 (b) 2744 (c) 2818
  29. 29.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 125 (b) 195 (c) 153
  31. 31.Which of these is a perfect cube? (a) 1728 (b) 1767 (c) 1969
  32. 32.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 3804 (b) 3375 (c) 3889
  34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛15625? =
  36. 36.A cube has a volume of 6859 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 7³? =
  39. 39.What is 15³? =
  40. 40.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

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

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