1. How tall and wide would a single giant screen be from combining all the screens...

1. How tall and wide would a single giant screen be from combining all the screens on mobile phones in the USA?

Hint: We'll want our giant mobile phone to have the same height/width ratio as a single mobile phone.

Estimate the population of the USA. ?

Estimate the number of mobile devices in the USA. ?

Estimate the area (in meter²) of one mobile phone.

Using your answers above, estimate the area (in meter²) of all mobile phones in the USA. ?

Estimate the height (in meter) of our giant mobile phone. Use the provided hint. ?

Estimate the width (in meter) of our giant mobile phone. Use the provided hint. ?

Solutions

Expert Solution

Answer to Question 1.)

Part A.) The Most populous country in the world is China, with a population around 1.5 billion. United States comes in at the 3rd most populous country, so let us assume that it has roughly 1/3rd the population of China. This gives us a rough estimate of the population to be 500 million people.

Part B.) Assume that each person has a mobile phone, which is a fairly reasonable assumption. This leads to an estimate of 500 million mobile phones.

Part C.) The standard mobile phone measures roughly 15 cms (length of a small ruler) tall, and has a 16:9 aspect ratio thus giving a width of cms

This gives an area of 0.01275 meter sq per phone.

Part D.) Thus, we will have the net area to be:

Area = area per phone * number of phones = 6375000 sq. meters

Now, since we still want to have a 16:9 aspect ratio, we have:

(16y)*(9y) = 6375000 y 210 m

Thus the height of our giant mobile phone is 16*y = 3360 m and the width is 9*y = 1890 m

We were unable to transcribe this image

Colby Messinger answered 1 year ago

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