If the space diagonal of a cuboid is 13 cm, and two of its edges are 3 cm and 4 cm, what is the third edge?
12 cm
Space diagonal of a cuboid = \(\sqrt{l^2 + b^2 + h^2}\).
\(13^2 = 3^2 + 4^2 + h^2 \Rightarrow 169 = 9 + 16 + h^2\).
\(h^2 = 169 - 25 = 144 \Rightarrow h = 12\) cm.
Hence, the third edge is 12 cm.
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