Question

a room has dimensions 4m× 4m× 4m. a fly starting at one corner ends up at the diametrically opposite corner?​

Answer 1

Answer:

216 m

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Answer 2

Answer:

13.856 or $8\sqrt{3}$

Explanation:

All dimensions are equal so we will assume it a cube.

Using pythagorus theorem,

We will calculate the diagonal of the cube.

Formula → $d^{2} = l^{2}+b^{2}+h^{2}$

Here, $d^{2} = 4^{2}+4^{2}+4^{2}$

⇒ $d^{2} = 64 + 64 + 64$

⇒ $d^{2} =192$

⇒ $d = \sqrt{192}$

⇒ $d =$ 13.856 or $8\sqrt{3}$

The diagonal of the room is 13.856 or $8\sqrt{3}$, the the fly will also travel the same distance i.e. 13.856 or $8\sqrt{3}$.