The length of a diagonal of a cuboid is 11 cm. The surface area is 240 square cm. What is the sum of its length, breadth and height?

Explanation

Given l^2+b^2+h^2 = 11^2 = 121 and 2(lb+bh+hl) = 240. Using the identity (l+b+h)^2 = l^2+b^2+h^2 + 2(lb+bh+hl), we get (l+b+h)^2 = 121 + 240 = 361. Thus, l+b+h = \sqrt{361} = 19 cm.

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