Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 105 · 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 2 must be multiplied to get a perfect cube?
2. 2.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
3. 3.Which of these is a perfect cube? (a) 198 (b) 125 (c) 143
4. 4.What is ∛2744? =
5. 5.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
6. 6.Which of these is a perfect cube? (a) 343 (b) 442 (c) 482
7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
8. 8.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
9. 9.What is 6³? =
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.What is 13³? =
12. 12.What is ∛64? =
13. 13.Which of these is a perfect cube? (a) 532 (b) 515 (c) 512
14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
15. 15.What is 17³? =
16. 16.Which of these is a perfect cube? (a) 2197 (b) 2697 (c) 2315
17. 17.What is ∛1331? =
18. 18.What is 3³? =
19. 19.What is 9³? =
20. 20.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
21. 21.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
22. 22.Which of these is a perfect cube? (a) 1331 (b) 1553 (c) 1415
23. 23.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
24. 24.What is 14³? =
25. 25.What is ∛13824? =
26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
27. 27.What is ∛216? =
28. 28.What is ∛4913? =
29. 29.What is 2³? =
30. 30.What is ∛9261? =
31. 31.What is 18³? =
32. 32.Which of these is a perfect cube? (a) 837 (b) 729 (c) 900
33. 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
34. 34.What is 16³? =
35. 35.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
36. 36.What is the smallest whole number by which 72 must be divided to get a perfect cube?
37. 37.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
38. 38.What is the smallest whole number by which 320 must be divided to get a perfect cube?
39. 39.What is 11³? =
40. 40.What is ∛1728? =

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