The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is : Options: A . &nbsp15$$\sqrt 3 $$ m B . &nbsp15 m C . &nbsp10$$\sqrt 2 $$ m D . &nbsp5$$\sqrt 3 $$ m

The length of the longest rod that can be placed in a room of dimensions 10 m ×

Question

The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is :

Options:

A . 15$$\sqrt 3 $$ m

B . 15 m

C . 10$$\sqrt 2 $$ m

D . 5$$\sqrt 3 $$ m

Answer: Option B
Required length :
$$\eqalign{
& = \sqrt {{{\left( {10} \right)}^2} + {{\left( {10} \right)}^2} + {{\left( 5 \right)}^2}} \,m \cr
& = \sqrt {225} \,m \cr
& = 15\,m \cr} $$

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