Price Per Square Inch Calculator
Calculate the cost per square inch of materials like fabric, metal, or glass. Useful for artists, builders, and crafters.
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Understanding the Price Per Square Inch Calculator
What is Price Per Square Inch?
The "price per square inch" is a unit price that determines the cost of a material for every one square inch of its surface area. It is an invaluable metric for comparing the cost-effectiveness of materials sold in sheets or different rectangular dimensions, such as metal plates, fabric, glass, or even pizza. By standardizing the cost to a common unit of area, you can make an accurate "apples-to-apples" comparison and find the best value.
How to Calculate Price Per Square Inch
The calculation involves two simple steps. First, find the total area, and then divide the total price by that area.
Formula
1. Area (in²) = Length (in) × Width (in)
2. Price per Square Inch = Total Price / Area (in²)
For example, if a 12-inch by 12-inch sheet of material costs $18.00:
First, calculate the area: 12 in × 12 in = 144 in²
Then, calculate the unit price: $18.00 / 144 in² = $0.125 per square inch
Practical Example: Comparing Materials
Imagine you're at a hardware store buying a sheet of acrylic for a project. You see two options:
- Option A: A 12" x 24" sheet for $30.00
- Option B: An 18" x 18" sheet for $35.00
Let's calculate the price per square inch to find the better deal:
- Option A: Area = 12 × 24 = 288 in². Price = $30.00 / 288 in² = $0.104 per square inch
- Option B: Area = 18 × 18 = 324 in². Price = $35.00 / 324 in² = $0.108 per square inch
The result shows that Option A is slightly cheaper per square inch, making it the better value if both sizes work for your project.
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