Projector Magnification with House
Visualizing linear magnification from slide to 3D house object
Slide Area
1.75 cm²
Projected Area
1.55 m²
Area Magnification
8,857
Linear Magnification
94.1x
Understanding Linear Magnification
This simulation demonstrates how a small house image on a slide (1.75 cm²) is magnified when projected onto a 3D house object.
The area magnification is calculated as:
Area Magnification Calculation
Area Magnification = Projected Area / Slide Area
Area Magnification = 1.55 m² / (1.75 × 10⁻⁴ m²) = 8,857
Since area scales with the square of linear dimensions, the linear magnification is the square root of the area magnification:
Linear Magnification Calculation
Linear Magnification = √(Area Magnification)
Linear Magnification = √(8,857) ≈ 94.1
Use the sliders above to adjust the magnification and house distance to see how they affect the projection size.
