Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 67 · 40 sums

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.

1. 1.What is 4³? =
2. 2.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
3. 3.What is 20³? =
4. 4.What is 15³? =
5. 5.What is 6³? =
6. 6.Which of these is a perfect cube? (a) 1448 (b) 1331 (c) 1463
7. 7.What is 19³? =
8. 8.What is 2³? =
9. 9.What is 18³? =
10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.Which of these is a perfect cube? (a) 2631 (b) 2197 (c) 2488
12. 12.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
13. 13.What is 7³? =
14. 14.What is ∛27? =
15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
16. 16.Which of these is a perfect cube? (a) 622 (b) 658 (c) 512
17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
18. 18.What is 14³? =
19. 19.Which of these is a perfect cube? (a) 3413 (b) 3560 (c) 3375
20. 20.What is ∛1728? =
21. 21.What is ∛8000? =
22. 22.What is 13³? =
23. 23.What is the smallest whole number by which 375 must be divided to get a perfect cube?
24. 24.What is ∛4096? =
25. 25.What is the smallest whole number by which 108 must be divided to get a perfect cube?
26. 26.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
27. 27.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
28. 28.What is ∛729? =
29. 29.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
32. 32.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
33. 33.What is ∛15625? =
34. 34.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
35. 35.Which of these is a perfect cube? (a) 834 (b) 971 (c) 729
36. 36.Which of these is a perfect cube? (a) 125 (b) 161 (c) 131
37. 37.What is 17³? =
38. 38.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.What is the smallest whole number by which 4 must be divided to get a perfect cube?
40. 40.What is ∛3375? =

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