Question 776778
Surface Area of large cube:
Six times (number of faces)
times area of 1 face.
6 * 4 * 4 = 96 cm^2
If the ratio of small to large is 1:4
96/4 = 24 cm^2
6 sides of small cube = 24 cm^2
1 side of small cube = 4 cm^2
Square root of 4 = 2cm
The size of a side of the small 
cube = 2cm.
Hope this helps.
:-)