Two cubes

The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.

Final Answer:

a =  84 cm
b =  62 cm

Step-by-step explanation:

a = 22+b 6 a2  6 b2 = 19272  6 a26 (a22)2=19272 264a=22176 a=22176/264=84  a=84=84 cm

6·a^2 - 6·(a-22)^2 = 19272

264a = 22176


a = 22176/264 = 84

a = 84

Our simple equation calculator calculates it.
b=a22=8422=62 cm



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