A color image of 10 x 15 cm is scanned. scanner resolution – 600 x 600 dpi color depth – 3 bytes

A color image of 10 x 15 cm is scanned. scanner resolution – 600 x 600 dpi color depth – 3 bytes. how much information will the resulting graphic file have?

Image dimensions in inches:

10cm / 2.54cm / inch = 3.973 inch;

15cm / 2.54cm / inch = 5.906inch.

Photo area in square inches:

S = 3.973 * 5.906 = 23.25 sq.

The number of dots recognized by the scanner, per square inch:

600 * 600 = 360,000 dpi sq.

The number of points read by the scanner from the photo:

23.25 sq. * 360,000 dpi sq. = 8370017 points.

Information volume:

8370017 points * 3 bytes / point = 25110050 bytes = 23.94 MB.

Answer: 23.94 MB.

Note: Assuming a ratio of 1 “= 2.5”, you get 24.72 MB.