Question

8. A room without ceiling is 12 m long, 4 m wide and 3 m
high. Find the length of the longest rod that can be placed
in that room.​

Answer 1

$\underline {\pink { Dimensions \:of \: a\: room :}}$

$Length (l) = 12 \:m \\Breadth (b) = 4 \:m \\Height (h) = 3 \:m$

$Length \: of \: longest \:rod \: placed \: in \\the \:room = \sqrt{ l^{2} + b^{2} + h^{2} }\\= \sqrt{ 12^{2} + 4^{2} + 3^{2} } \\= \sqrt{ 144 + 16 + 9 }\\= \sqrt{ 169 } \\= \sqrt{13^{2}}\\= 13 \:m$

Therefore.,

$\red { Length \: of \: longest \:rod \: placed \: in}$

$\red { the \:room }\green {= 13 \:m }$

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