Answer:
7.1 cm
Step-by-step explanation:
The diagonal of a cube connects two opposite corners.
You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.
Let the length of the edge be s.
a^2 + b^2 = c^2
[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]
[tex] s^2 + 100 = 150 [/tex]
[tex] s^2 = 50 [/tex]
[tex] s = \sqrt{50} [/tex]
[tex] s = 5\sqrt{2} [/tex]
s = 7.1
Answer: 7.1 cm
