← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 950 · 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 243 must be multiplied to get a perfect cube?
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 110 (b) 72 (c) 64
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  8. 8.What is ∛12167? =
  9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  10. 10.What is 5³? =
  11. 11.What is 16³? =
  12. 12.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is ∛216? =
  14. 14.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  15. 15.What is 18³? =
  16. 16.What is 6³? =
  17. 17.What is 14³? =
  18. 18.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  20. 20.What is 11³? =
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛3375? =
  24. 24.What is 9³? =
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is 3³? =
  27. 27.Which of these is a perfect cube? (a) 1778 (b) 1762 (c) 1728
  28. 28.Which of these is a perfect cube? (a) 125 (b) 185 (c) 126
  29. 29.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.What is 7³? =
  31. 31.Which of these is a perfect cube? (a) 1331 (b) 1579 (c) 1554
  32. 32.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 40 (b) 27 (c) 32
  35. 35.Which of these is a perfect cube? (a) 643 (b) 512 (c) 539
  36. 36.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  38. 38.What is 10³? =
  39. 39.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 443 (b) 462 (c) 343

Answer key

  1. 3
  2. 4
  3. 216
  4. 27
  5. 64
  6. 216
  7. 2
  8. 23
  9. 13
  10. 125
  11. 4096
  12. 125
  13. 6
  14. 9
  15. 5832
  16. 216
  17. 2744
  18. 18
  19. 9
  20. 1331
  21. 8
  22. 27
  23. 15
  24. 729
  25. 2
  26. 27
  27. 1728
  28. 125
  29. 64
  30. 343
  31. 1331
  32. 14
  33. 216
  34. 27
  35. 512
  36. 8
  37. 4
  38. 1000
  39. 2
  40. 343

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