Question

The length of the longest pole that can be put in a room of dimensions 10 m × 10 m × 5 m is ________.

Answer 1

The length of the longest pole that can be put in a room is same as the length of the diagonal of the room.

The dimensions of the given room are 10 m × 10 m × 5 m.

Let the length, breadth and height of the room be l, b and h, respectively.

∴ l = 10 m, b = 10 m and h = 5 m

Now,

Length of the longest pole that can be put in the room

= Length of diagonal of the room

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

$=\sqrt{{10}^2+{10}^2+5^2}$

$=\sqrt{100+100+25}$

$=\sqrt{225}$

$=15\mathrm{m}$

Thus, the length of the longest pole that can be put in the room of given dimensions is 15 m.

The length of the longest pole that can be put in a room of dimensions 10 m × 10 m × 5 m is ___15 m___.