Answer:
iPhone 8+ (2017) 736 × 414 1920 × 1080 16:9 3× 5.5″ 401 PPI
Step-by-step explanation:
a. Dimensions of the screen
The dimensions of the screen are height = 2.7 in and width = 4.8 in
Since the aspect ratio is the ratio of width, w to height, h of the iPhone 8 and it is 16:9, we have that
w/h = 16/9
w = 16h/9
Also, the diagonal length, d = 5.5 inches.
Since the iPhone 8 screen is a rectangle, the diagonal length d is gotten from pythagoras' theorem.
So, d = √(w² + h²)
Since w = 16h/9
d = √(w² + h²)
d = √((16h/9)² + h²)
d = h√((16/9)² + 1²)
d = h√(256/81 + 1)
d = h√[(256 + 81)/81]
d = h√[337/81]
d = h√4.16
d = 2.04h
Making h subject of the formula, we have
h = d/2.04
h = 5.5/2.04
h = 2.7 in
So, w = 16h/9
w = 16 × 2.7 in/9
w = 43.2 in/9
w = 4.8 in
So, the dimensions of the screen are height = 2.7 in and width = 4.8 in
b. Number of pixels per inch
The number of pixels per inch (PPI) is 400 pixels per inch
To find the number per inch, we need to find the total number of pixels on the screen which is 1080 by 1920 = 2073600 pixels.
The area of the screen is A = wh
= 4.8 in × 2.7 in
= 12.96 in²
So, the number of pixels per square inch (PPI²) is 2073600 pixels/12.96 in² = 160000 pixels/in².
So, pixels per inch(PPI) = √160000 pixels/in²
= 400 pixels per inch
So, the number of pixels per inch (PPI) is 400 pixels per inch
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