Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 423 · 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.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
2. 2.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
3. 3.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
4. 4.What is ∛8000? =
5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
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.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
8. 8.What is ∛729? =
9. 9.What is 9³? =
10. 10.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
12. 12.What is ∛10648? =
13. 13.What is 15³? =
14. 14.Which of these is a perfect cube? (a) 53 (b) 27 (c) 31
15. 15.What is 8³? =
16. 16.What is ∛3375? =
17. 17.What is ∛64? =
18. 18.Which of these is a perfect cube? (a) 626 (b) 600 (c) 512
19. 19.What is ∛8? =
20. 20.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
21. 21.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
22. 22.What is the smallest whole number by which 875 must be divided to get a perfect cube?
23. 23.What is ∛125? =
24. 24.What is 19³? =
25. 25.What is 17³? =
26. 26.What is ∛343? =
27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
30. 30.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
31. 31.What is ∛13824? =
32. 32.Which of these is a perfect cube? (a) 1687 (b) 1331 (c) 1535
33. 33.Which of these is a perfect cube? (a) 71 (b) 82 (c) 64
34. 34.What is 11³? =
35. 35.What is ∛2744? =
36. 36.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
37. 37.What is 12³? =
38. 38.What is ∛5832? =
39. 39.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
40. 40.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?

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