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3D Printing Material Cost Calculator

3D Printing Material Cost Calculator estimates the cost of 3D printing based on material volume, density, and cost per unit, visualizing expenses for manufacturing analysis.

Formulas Used in 3D Printing Material Cost Calculator

The calculator uses the following formulas for estimating 3D printing costs:

Material Weight:

\\[ W = V \cdot \rho \\]

Material Cost:

\\[ C_m = W \cdot \frac{C_k}{1000} \\]

Energy Cost:

\\[ C_e = T \cdot P_e \cdot C_kWh \\]

Total Cost:

\\[ C_t = C_m + C_e \\]

Where:

  • \\( W \\): Material weight (g)
  • \\( V \\): Object volume (cm³)
  • \\( \rho \\): Material density (g/cm³)
  • \\( C_m \\): Material cost ($)
  • \\( C_k \\): Material cost per kilogram ($/kg)
  • \\( C_e \\): Energy cost ($)
  • \\( T \\): Print time (hours)
  • \\( P_e \\): Printer power consumption (kW, assumed 0.2 kW)
  • \\( C_kWh \\): Energy cost per kilowatt-hour ($/kWh)
  • \\( C_t \\): Total cost ($)

Example Calculations

Example 1: Standard Case

Input: Volume = 100 cm³, Material Density = 1.25 g/cm³, Material Cost = $50/kg, Print Time = 5 hours, Energy Cost = $0.15/kWh

\\[ W = 100 \cdot 1.25 = 125 \, \text{g} \\] \\[ C_m = 125 \cdot \frac{50}{1000} = 6.25 \, \$ \\] \\[ C_e = 5 \cdot 0.2 \cdot 0.15 = 0.15 \, \$ \\] \\[ C_t = 6.25 + 0.15 = 6.4 \, \$ \\]

Result: Material Weight = 125 g, Material Cost = $6.25, Energy Cost = $0.15, Total Cost = $6.40

Example 2: Larger Volume

Input: Volume = 200 cm³, Material Density = 1.25 g/cm³, Material Cost = $50/kg, Print Time = 8 hours, Energy Cost = $0.15/kWh

\\[ W = 200 \cdot 1.25 = 250 \, \text{g} \\] \\[ C_m = 250 \cdot \frac{50}{1000} = 12.5 \, \$ \\] \\[ C_e = 8 \cdot 0.2 \cdot 0.15 = 0.24 \, \$ \\] \\[ C_t = 12.5 + 0.24 = 12.74 \, \$ \\]

Result: Material Weight = 250 g, Material Cost = $12.50, Energy Cost = $0.24, Total Cost = $12.74

Example 3: Higher Material Cost

Input: Volume = 100 cm³, Material Density = 1.25 g/cm³, Material Cost = $100/kg, Print Time = 5 hours, Energy Cost = $0.15/kWh

\\[ W = 100 \cdot 1.25 = 125 \, \text{g} \\] \\[ C_m = 125 \cdot \frac{100}{1000} = 12.5 \, \$ \\] \\[ C_e = 5 \cdot 0.2 \cdot 0.15 = 0.15 \, \$ \\] \\[ C_t = 12.5 + 0.15 = 12.65 \, \$ \\]

Result: Material Weight = 125 g, Material Cost = $12.50, Energy Cost = $0.15, Total Cost = $12.65

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