Mirror! Mirror! Chicken Dinner

Geometry Level 4

How many images of an object are formed which is in a room whose two adjacent walls and the ceiling are plane mirrors?

Clarification : The object is equidistant to all the mirrors.

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The answer is 7.

Satyabrata Dash by Satyabrata Dash , 20, India

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3 solutions

Satyabrata Dash
Mar 26, 2016

Following the laws of reflection 9 images images are formed of which 4 images coincide with each other.

Thus leading to decrease in 2 images .

So, total number of images is 9 − 2 = 7 9 - 2 = 7

5 Helpful 0 Interesting 0 Brilliant 0 Confused

What Law of reflection with three mirror you are referring to ? Please explain. If the distances from the mirror are different, what would happen ? When you say four images coincide I take it that A and B coincide and C and D coincide. Am I correct ?

Niranjan Khanderia - 5 years, 2 months ago

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yes you are correct.

Satyabrata Dash - 5 years, 2 months ago

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Will you please explain how you got 9? What is the Law ? Any more uncommon Law ?

Niranjan Khanderia - 5 years, 2 months ago

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@Niranjan Khanderia – no its not any law rather juat a formula i.e . when 2 mirrors are inclined to each other at an angle θ \theta then the number of images of an formed will be 360 θ \frac{360}{\theta} - 1 .

Satyabrata Dash - 5 years, 2 months ago

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@Satyabrata Dash – Thank you.

Niranjan Khanderia - 5 years, 2 months ago

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@Niranjan Khanderia – welcome :))

Satyabrata Dash - 5 years, 2 months ago

@Satyabrata Dash – Satyarata how can we use this formual here ............... this is when we are considering about 2-D mirrors but in 3-d the angles are in steredians ................. could u please explain .....................if possible send a diagram

Abhisek Mohanty - 4 years, 11 months ago

i did'nt like the title, i used the concept of circles !

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The object and the images are at the corner of the 2X2X2 cube = 8 out of these one is the object itself. So 7 images.

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sir, are you really 88 years old??

Satyabrata Dash - 5 years, 2 months ago

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yes. 1928.

Niranjan Khanderia - 5 years, 2 months ago

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