Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 450 · 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 54 must be multiplied to get a perfect cube?
2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
3. 3.What is 6³? =
4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
5. 5.What is 4³? =
6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
7. 7.Which of these is a perfect cube? (a) 2291 (b) 2390 (c) 2197
8. 8.What is the smallest whole number by which 200 must be divided to get a perfect cube?
9. 9.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
10. 10.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
11. 11.Which of these is a perfect cube? (a) 1728 (b) 2099 (c) 1976
12. 12.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
13. 13.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
15. 15.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
16. 16.What is ∛64? =
17. 17.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
18. 18.What is the smallest whole number by which 375 must be divided to get a perfect cube?
19. 19.Which of these is a perfect cube? (a) 519 (b) 512 (c) 527
20. 20.Which of these is a perfect cube? (a) 3133 (b) 3095 (c) 2744
21. 21.Which of these is a perfect cube? (a) 183 (b) 125 (c) 151
22. 22.What is ∛729? =
23. 23.What is the smallest whole number by which 3 must be divided to get a perfect cube?
24. 24.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
25. 25.What is 17³? =
26. 26.Which of these is a perfect cube? (a) 1564 (b) 1578 (c) 1331
27. 27.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
28. 28.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
29. 29.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
31. 31.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
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.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
34. 34.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
35. 35.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
36. 36.What is the smallest whole number by which 392 must be divided to get a perfect cube?
37. 37.What is 8³? =
38. 38.What is ∛1331? =
39. 39.What is 2³? =
40. 40.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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