# Two cubes

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

Result

a =  84 cm
b =  62 cm

#### Solution:

$a = 22+b \ \\ 6 \cdot \ a^2 - 6 \cdot \ b^2 = 19272 \ \\ \ \\ 6 \cdot \ a^2 - 6 \cdot \ (a-22)^2 = 19272 \ \\ 264a = 22176 \ \\ a = 22176 / 264 = 84 \ \\ \ \\ a = 84 = 84 \ \text { cm }$
$b = a-22 = 84-22 = 62 = 62 \ \text { cm }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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