Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 627 · 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 10584 must be multiplied to get a perfect cube?
2. 2.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
3. 3.Which of these is a perfect cube? (a) 2748 (b) 2744 (c) 3298
4. 4.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
5. 5.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
6. 6.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
7. 7.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
8. 8.Which of these is a perfect cube? (a) 3634 (b) 3375 (c) 3784
9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.What is 12³? =
12. 12.What is 20³? =
13. 13.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.Which of these is a perfect cube? (a) 729 (b) 782 (c) 864
15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
16. 16.What is 9³? =
17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
18. 18.What is ∛64? =
19. 19.What is 6³? =
20. 20.Which of these is a perfect cube? (a) 701 (b) 512 (c) 513
21. 21.What is the smallest whole number by which 243 must be divided to get a perfect cube?
22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
25. 25.What is the smallest whole number by which 49 must be divided to get a perfect cube?
26. 26.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
27. 27.Which of these is a perfect cube? (a) 1365 (b) 1636 (c) 1331
28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
29. 29.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
30. 30.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
32. 32.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
34. 34.What is 19³? =
35. 35.What is ∛729? =
36. 36.What is 18³? =
37. 37.What is ∛216? =
38. 38.Which of these is a perfect cube? (a) 146 (b) 166 (c) 125
39. 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
40. 40.What is 7³? =

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