Find the length of the largest rod that can be placed in a room 1

| Find the length of the largest rod that can be placed in a room 16 m long, 12 m broad and 15m. high,

A. 25 m

B. 28 m

C. <span class="math-tex">\(22\frac{2}{3}m\)</span>

D. 35 m

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As we see in the figure,

Length of the room, l = 16 m.

Breadth of the room, b = 12 m.

Height of the room, h = 15 m.

The room is cuboidal in shape.

∴ length of the largest rod that can be placed in the room = length of the diagonal(d)

⇒ √(16² + 12² + 15²)

⇒ √(256 + 144 + 225)

⇒ √625

⇒ 25 m.