Answer:
The answer is
[tex] \frac{5}{2} \: \: \: feet \\ [/tex]
Step-by-step explanation:
Since the cardboard box is a cube all it's sides are equal
Volume(V) of a cube = l³
where l is the length of one side
From the question
[tex]V = \frac{125}{8} \: {ft}^{3} [/tex]
The length of each side of the cardboard box is
[tex] {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} [/tex]
We have the final answer as
[tex] \frac{5}{2} \: \: \: feet \\ [/tex]
Hope this helps you
