Question

Find the length of the longest rod that can be put in a hall 23m×10m×10m

Answer 1

$\huge\text{\underline{Answer}}$

$\sf{\underline{Given }}$

The dimension of room is 23m × 10m × 10m.

Length of longest rod = ?

$\sf{\underline{Solution }}$

The length of longest rod put in hall = diagonal of cuboid.

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

put the value of l, b, h .

$\implies$ $\bold{d = \sqrt{ {23}^{2} + {10}^{2} + {10}^{2} } }$

$\implies$ $\bold{d = \sqrt{529 + 100 + 100} }$

$\implies$ $\bold{d =\sqrt{729} }$

$\implies$ $\bold{d = 27 m}$

hence, longest rod kept in hall will be 27 cm.

Answer 2

Answer:

Diagonal of a cuboid

l^2+h^2+b^2 whole underroot

Therefore, 529 + 100 + 100

= Underroot 729

=27cm

Please mark me the brainliest

Step-by-step explanation: