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.

Correct 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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