Question

Find the length of longest rod that can be fitted into a cuboid having dimensions 1m, 0.5m and 0.75m as length,breadth and height respectively. Answer the question I WILL MARK YOU BRAINLIEST​

Answer 1

Answer:

$l = 1m = 100cm$

$b = 0.5m = 50cm$

$h = 0.75m = 75cm$

Length of longest rod which can be fitted into a cuboid = Diagonal of the cuboid

$d = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

$d = \sqrt{100\times 100 + 50\times 50 + 75\times 75}$

$d = \sqrt{10000 + 2500 + 5625}$

$d = \sqrt{18125}$

$d = 134.629$

$d = 134.63 \: cm$

$d = 1.35 \: m$

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