Answer: 30 inches
Step-by-step explanation:
We know that the formula for calculate the volume of a cube is:
[tex]V=s^3[/tex]
Where "s" is the length of each side.
Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":
[tex]125\ in^3=s^3\\\\\sqrt[3]{125\ in^3}=s\\\\s=5\ in[/tex]
We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6. Then:
[tex]height=(5\ in)(6)=30\ in[/tex]
