Question

The dimensions of a hollow box are 40cm,32cm and 16 cm. Find the length of the longest rod that can be kept inside the box?

Answer 1

$\sf{\huge{Heya\:mate.\\Solution \: below}}$
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★ $<b><u><font color = "red">Answer - ↓↓↓</font color></u></b>$★




♠ Given -

Length (l) = 40 cm

Breadth (b) = 32 cm

Height (h) = 16 cm



♠ Longest rod that can be kept in a cuboid is

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



♠ So, longest rod that can be kept in the box,

$\sf{= \sqrt{{40}^{2} + {32}^{2} + {16}^{2}}}$

$\sf{= \sqrt{1600 + 1024 + 256}}$

$\sf{= \sqrt{2880}}$

$\sf{= 53.6656}$

$\sf{≈ 53.5 \: cm}$



♥ •°• The longest rod that can be kept is of 53.5 cm. ♥
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Thank you... (^_-)