Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 478 · 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 the smallest whole number by which 3125 must be divided to get a perfect cube?
2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
3. 3.Which of these is a perfect cube? (a) 27 (b) 54 (c) 29
4. 4.What is ∛2197? =
5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
6. 6.What is 19³? =
7. 7.What is ∛4096? =
8. 8.Which of these is a perfect cube? (a) 521 (b) 512 (c) 615
9. 9.Which of these is a perfect cube? (a) 464 (b) 349 (c) 343
10. 10.What is 5³? =
11. 11.What is 16³? =
12. 12.What is ∛1728? =
13. 13.What is 4³? =
14. 14.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.What is 7³? =
17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
18. 18.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
19. 19.What is ∛8? =
20. 20.What is 20³? =
21. 21.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
22. 22.What is 2³? =
23. 23.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
24. 24.Which of these is a perfect cube? (a) 216 (b) 310 (c) 256
25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
26. 26.Which of these is a perfect cube? (a) 3375 (b) 4019 (c) 3918
27. 27.What is ∛6859? =
28. 28.What is 18³? =
29. 29.What is 11³? =
30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
31. 31.What is ∛4913? =
32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
33. 33.What is the smallest whole number by which 108 must be divided to get a perfect cube?
34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
36. 36.What is 13³? =
37. 37.What is 9³? =
38. 38.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
39. 39.What is 6³? =
40. 40.What is ∛64? =

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