The side of the edge of the cube is 7. 07cm
<h3>How to determine the length</h3>
Given that a diagonal of a cube measures the square root of 150 cm and the diagonal of a face measures 10 cm.
Let's find the edge of the face
Note that the face of the cube is in the shape of square .
The diagonal of the face is 10 cm.
The formula for diagonal of square = 
a is the side of the square face
We have that,

Make 'a' subject of formula
a = 
Find the surd of the equation, we have
a =
× 
a = 
a = 
a = 
Thus, the side of the edge of the cube is 7. 07cm
Learn more about a cube here:
brainly.com/question/1972490
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