Answer: 5 cm
Step-by-step explanation:
Given : The volume of a cube = 125 cubic inches.
The formula for the volume of a cube is :
[tex]V=s^3[/tex], where s is the side-length .
Substitute V= 125 in the above formula ,
[tex]125=s^3[/tex]
Taking cube root on both the sides , we get
[tex]\sqrt[3]{125}=s\\\\\Rightarrow\ s= \sqrt[3]{5^3}=5[/tex]
Hence, the side length of cube= [tex]5\ cm[/tex]
Each edge will be 5 inches.
Volume of the cube = 125 cubic inches
It should be noted that a cube's volume is gotten by multiplying the side thrice. In this case, let's say the value of each side is a. Therefore, based on the information given above:
a × a × a = 125
a³ = 125
a = 3✓125
a = 5
Therefore each edge is 5 inches.
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