Cubes

The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube.

Final Answer:

a =  53 cm
b =  11 cm

Step-by-step explanation:

ab = 42 ΔS = S1S2 = 16128 6a26b2=16128 (42+b)2b22688 =0 b=2 422688422=11  a=42+b=42+11=53 cm
b=11=11 cm  Verifying Solution:  S1=6 a2=6 532=16854 cm2 S2=6 b2=6 112=726 cm2 ΔS=S1S2=16854726=16128 cm2



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