Answer: 7cm
Explanation:
The solution could be found using Pythagoras to solve the length of the side of the cube :
Let edge = A
Face diagonal (F) = 10cm
Inner diagonal (I) = sqrt(150) cm
A^2 = I^2 - F^2
A^2 = [sqrt(150)]^2 - 10^2
A^2 = 150 - 100
A^2 = 50
A = sqrt(50)
A = 7.0710678 cm
A = 7cm (to the nearest tenth)
Therefore, length of an edge = 7cm