Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 528 · 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 ∛4913? =
2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
3. 3.What is 8³? =
4. 4.What is 7³? =
5. 5.Which of these is a perfect cube? (a) 145 (b) 125 (c) 176
6. 6.What is the smallest whole number by which 32 must be divided to get a perfect cube?
7. 7.Which of these is a perfect cube? (a) 27 (b) 54 (c) 33
8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
9. 9.What is ∛216? =
10. 10.What is 2³? =
11. 11.What is 6³? =
12. 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
13. 13.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
14. 14.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
15. 15.Which of these is a perfect cube? (a) 3375 (b) 4034 (c) 3860
16. 16.Which of these is a perfect cube? (a) 343 (b) 362 (c) 350
17. 17.What is ∛13824? =
18. 18.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
19. 19.What is the smallest whole number by which 3 must be divided to get a perfect cube?
20. 20.What is 16³? =
21. 21.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
22. 22.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
23. 23.What is the smallest whole number by which 320 must be divided to get a perfect cube?
24. 24.What is ∛6859? =
25. 25.What is ∛4096? =
26. 26.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
27. 27.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
28. 28.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
31. 31.What is 11³? =
32. 32.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
33. 33.Which of these is a perfect cube? (a) 1982 (b) 1728 (c) 1998
34. 34.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
35. 35.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
36. 36.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
38. 38.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
39. 39.What is 18³? =
40. 40.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

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