Wednesday, November 12, 2025

Digital image problem 2

 Second problem:

Which resolution would the same picture need to have a 300 dpi picture?

Step 1: Convert millimeters to inches

We know that:

1 inch=25.4 mm1 \text{ inch} = 25.4 \text{ mm}

Convert each dimension:

  • Width:

    - 210÷25.4=8.267716535 inches210 \div 25.4 = 8.267716535 \text{ inches}
  • Height:

    - 297÷25.4=11.69291339 inches297 \div 25.4 = 11.69291339 \text{ inches}

Step 2: Multiply each dimension in inches by the desired resolution (300 dpi)

  • Width in pixels:

    - 8.267716535×300=2480.31496 pixels8.267716535 \times 300 = 2480.31496 \text{ px}
  • Height in pixels:

    - 11.69291339×300=3507.874017 pixels


  • Final required resolution: 
  • 2480 × 3508 pixels

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