Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 143 · 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.Which of these is a perfect cube? (a) 512 (b) 518 (c) 519
2. 2.What is 10³? =
3. 3.What is 11³? =
4. 4.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
5. 5.What is 17³? =
6. 6.What is ∛8000? =
7. 7.What is ∛64? =
8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
9. 9.What is 8³? =
10. 10.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
12. 12.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
13. 13.Which of these is a perfect cube? (a) 1331 (b) 1439 (c) 1361
14. 14.Which of these is a perfect cube? (a) 381 (b) 343 (c) 441
15. 15.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
16. 16.What is 5³? =
17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
18. 18.What is ∛13824? =
19. 19.What is ∛343? =
20. 20.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
22. 22.What is ∛9261? =
23. 23.What is ∛216? =
24. 24.What is 3³? =
25. 25.Which of these is a perfect cube? (a) 146 (b) 142 (c) 125
26. 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
27. 27.Which of these is a perfect cube? (a) 1283 (b) 1000 (c) 1029
28. 28.What is ∛729? =
29. 29.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
30. 30.What is ∛5832? =
31. 31.Which of these is a perfect cube? (a) 239 (b) 216 (c) 313
32. 32.What is 19³? =
33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
34. 34.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
35. 35.What is 16³? =
36. 36.What is ∛6859? =
37. 37.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
38. 38.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
39. 39.What is ∛4096? =
40. 40.What is ∛512? =

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