Answer:
5 inches
Explanation:
Given
Length of a cube = 1 inch
Required
Determine the edge length of the cube
If the container can take 125 cubes, then that's the volume
So:
![Volume = 125in^3](https://img.qammunity.org/2021/formulas/mathematics/college/5i41m8eah4bgst6nbiyks4oqfwh6roljfp.png)
Volume of a cube is calculated as thus;
![Volume = Length^3](https://img.qammunity.org/2021/formulas/mathematics/college/n5sf465v86a2febi0zkeyou8t8z08wxsrt.png)
This gives;
![Length^3 = 125](https://img.qammunity.org/2021/formulas/mathematics/college/yokdurvwtv2sy8jkeqfbyfbmkxtnksdjjc.png)
Take cube root of both sides
![Length = \sqrt[3]{125}](https://img.qammunity.org/2021/formulas/mathematics/college/fbcmlfqghv39p4yxy56qw4yzznmequy685.png)
![Length = 5](https://img.qammunity.org/2021/formulas/mathematics/college/7icxytqvvssc260emi6t3nm3oxb0s8enpk.png)
Hence, the length is 5 inches