Question 776778
Two cubes are placed next to each other. the length of each of the edges of the larger cube is 4cm.
The surface area of each side of that cube is 16 cm^2
The total surface area of that cube is 6*16 = 96 cm^2
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if the ratio of their surface areas is 1:4 calculate:
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a)the surface area of the small cube = (1/4) the surface 
area of the larger cube = (1/4)96 = 26 cm^2
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b) the length of the an edge of the small cube
So each face of the smaller cube has area = (1/6)26 = 13/3
Therefore each edge of the smaller cube is sqrt(13/3) = (13/3)sqrt(3)
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Cheers,
Stan H.
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