Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 938 · 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 576 must be divided to get a perfect cube?
2. 2.What is 4³? =
3. 3.What is ∛1000? =
4. 4.Which of these is a perfect cube? (a) 1476 (b) 1453 (c) 1331
5. 5.What is ∛216? =
6. 6.What is 15³? =
7. 7.What is ∛512? =
8. 8.What is 19³? =
9. 9.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
11. 11.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
12. 12.What is 18³? =
13. 13.What is ∛729? =
14. 14.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
16. 16.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
17. 17.What is 20³? =
18. 18.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
19. 19.What is 7³? =
20. 20.What is 14³? =
21. 21.What is 6³? =
22. 22.What is 12³? =
23. 23.Which of these is a perfect cube? (a) 488 (b) 351 (c) 343
24. 24.What is 8³? =
25. 25.What is 2³? =
26. 26.Which of these is a perfect cube? (a) 257 (b) 245 (c) 216
27. 27.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
28. 28.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
29. 29.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
30. 30.Which of these is a perfect cube? (a) 102 (b) 64 (c) 68
31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.Which of these is a perfect cube? (a) 2744 (b) 3195 (c) 3227
33. 33.What is 9³? =
34. 34.What is ∛4913? =
35. 35.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
36. 36.Which of these is a perfect cube? (a) 652 (b) 591 (c) 512
37. 37.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
38. 38.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
40. 40.What is 5³? =

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