Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 942 · 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) 34 (b) 52 (c) 27
2. 2.What is ∛1000? =
3. 3.What is the smallest whole number by which 49 must be divided to get a perfect cube?
4. 4.What is 8³? =
5. 5.Which of these is a perfect cube? (a) 1728 (b) 1846 (c) 2035
6. 6.What is 17³? =
7. 7.What is ∛1331? =
8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
9. 9.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
10. 10.What is ∛8000? =
11. 11.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
12. 12.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
13. 13.Which of these is a perfect cube? (a) 3642 (b) 3375 (c) 3567
14. 14.What is ∛1728? =
15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
16. 16.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
17. 17.Which of these is a perfect cube? (a) 2230 (b) 2197 (c) 2562
18. 18.Which of these is a perfect cube? (a) 64 (b) 108 (c) 111
19. 19.Which of these is a perfect cube? (a) 261 (b) 315 (c) 216
20. 20.What is 18³? =
21. 21.What is 12³? =
22. 22.What is ∛15625? =
23. 23.What is 16³? =
24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
26. 26.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
27. 27.What is 19³? =
28. 28.What is ∛6859? =
29. 29.What is ∛2197? =
30. 30.What is 10³? =
31. 31.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
32. 32.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
33. 33.What is 3³? =
34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
35. 35.What is 20³? =
36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
37. 37.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
38. 38.What is ∛2744? =
39. 39.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
40. 40.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?

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