Two edges of a rectangular box going out from one vertex are equal to 2 and 8. The surface area of this box is equal

Two edges of a rectangular box going out from one vertex are equal to 2 and 8. The surface area of this box is equal to 212. Find the third edge going out from the same vertex.

S = 212, a = 2, b = 8.

c = (212 – 2 x 2 x 8) / (2 x 2 + 2 x 8).

C = 180/20 = 9.

Answer: edge length c = 9.



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