Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 398 · 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 12³? =
2. 2.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
4. 4.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
5. 5.Which of these is a perfect cube? (a) 27 (b) 46 (c) 42
6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
7. 7.What is ∛5832? =
8. 8.Which of these is a perfect cube? (a) 675 (b) 604 (c) 512
9. 9.What is ∛9261? =
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.What is 17³? =
12. 12.What is ∛15625? =
13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
14. 14.What is ∛729? =
15. 15.What is 19³? =
16. 16.What is 3³? =
17. 17.What is 14³? =
18. 18.Which of these is a perfect cube? (a) 65 (b) 96 (c) 64
19. 19.What is ∛125? =
20. 20.What is 8³? =
21. 21.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
22. 22.What is 20³? =
23. 23.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
24. 24.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
25. 25.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
27. 27.Which of these is a perfect cube? (a) 3860 (b) 3375 (c) 4037
28. 28.What is 4³? =
29. 29.What is 5³? =
30. 30.Which of these is a perfect cube? (a) 1792 (b) 2017 (c) 1728
31. 31.What is 9³? =
32. 32.What is ∛64? =
33. 33.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
37. 37.What is ∛10648? =
38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
39. 39.What is ∛4096? =
40. 40.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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