The two edges of a rectangular box going out from one vertex are 8 and 12

The two edges of a rectangular box going out from one vertex are 8 and 12. The surface area of this box is 552. Find the third edge going out of the same vertex.

S = 552, a = 8, b = 12.

c = (552 – 2 x 8 x 12) / (2 x 8+ 2 x 12).

C = 360/40 = 9.

Answer: edge length c = 9.



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