A cuboid measures $5$ cm $\times 4$ cm $\times 3$ cm. Find the length of its space diagonal.

A cuboid measures $5$ cm $\times 4$ cm $\times 3$ cm. Find the length of its space diagonal.
  1. $5\sqrt{2}$ cm
  2. $12$ cm
  3. $\sqrt{34}$ cm
  4. $\sqrt{12}$ cm

Solution

Space diagonal $= \sqrt{l^{2}+b^{2}+h^{2}} = \sqrt{25+16+9} = \sqrt{50} = 5\sqrt{2}$ cm.

Asked in: IMO

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