The two edges of a rectangular box extending from one vertex are equal to 3 and 9.

The two edges of a rectangular box extending from one vertex are equal to 3 and 9. The surface area of this box is 102. Find the third edge extending from the same vertex.

S = 568, a = 10, b = 14.

c = (102 – 2 x 3 x 9) / (2 x 3 + 2 x 9).

C = 48/24 = 2.

Answer: edge length c = 2.




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