Square Inches to Square Feet Converter (sq in ⇄ sq ft)
Convert area between square inches (sq in) and square feet (sq ft) instantly. Perfect for flooring, tiling, countertops, woodworking, real estate listings, and any project where product specs and room sizes use different units.
Square inches ⇄ square feet area converter
1 sq ft = 144 sq in
1 sq in ≈ 0.006944 sq ft
This converter uses the exact relationship 1 sq ft = 144 sq in. It works in both directions: enter either square inches or square feet and the other field updates automatically.
Quick square inches to square feet conversion table
| Square inches (sq in) | Square feet (sq ft) | Typical use |
|---|---|---|
| 144 | 1 | Tile or panel of 12 in × 12 in |
| 288 | 2 | Two 1 sq ft tiles |
| 432 | 3 | Small step or landing |
| 720 | 5 | Small closet floor |
| 1440 | 10 | Entry area or small hallway |
| 2880 | 20 | Small bathroom or laundry room |
| 4320 | 30 | Small bedroom |
| 5760 | 40 | Medium bedroom or office |
| 7200 | 50 | Medium-sized room |
Formulas for converting between square inches and square feet
Square inches (sq in) and square feet (sq ft) are both units of area in the imperial system. They are related through the basic length relationship between inches and feet.
Since \[ 1\ \text{ft} = 12\ \text{in} \] we have:
\[ 1\ \text{sq ft} = 1\ \text{ft} \times 1\ \text{ft} = 12\ \text{in} \times 12\ \text{in} = 144\ \text{sq in} \]
From square inches to square feet
To convert from square inches to square feet, divide by 144:
\[ \text{sq ft} = \frac{\text{sq in}}{144} \]
From square feet to square inches
To convert from square feet to square inches, multiply by 144:
\[ \text{sq in} = \text{sq ft} \times 144 \]
Worked examples
-
Example 1 – 432 sq in to sq ft
\[ \text{sq ft} = \frac{432}{144} = 3\ \text{sq ft} \] -
Example 2 – 7.5 sq ft to sq in
\[ \text{sq in} = 7.5 \times 144 = 1{,}080\ \text{sq in} \] -
Example 3 – 900 sq in to sq ft
\[ \text{sq ft} = \frac{900}{144} \approx 6.25\ \text{sq ft} \]
How to use square inches and square feet in real projects
Manufacturers often give product dimensions in inches (e.g. tile size, board width, countertop depth), while room sizes and total area estimates are given in square feet. This converter helps you bridge that gap.
- Flooring and tiling: work out how many tiles of a given size you need to cover a room in sq ft.
- Countertops and furniture: convert detailed inch-based drawings to square feet for pricing.
- Real estate: verify that described room sizes match floor plans or measurements.
- DIY projects: estimate paint, varnish, or material coverage from small pieces to whole surfaces.
FAQ: Square inches to square feet
Why do we divide by 144 when converting sq in to sq ft?
Because area scales with the square of the length conversion. There are 12 inches in a foot, so the area ratio is \(12^2 = 144\). That means 1 square foot contains 144 square inches.
How do I calculate area in square inches from length and width?
First measure length and width in inches, then multiply:
\[ \text{area in sq in} = \text{length in in} \times \text{width in in} \] You can then convert to square feet by dividing the result by 144.
Can I convert directly from inches to square feet?
You cannot convert a length (inches) directly to an area (square feet). You must first have an area expressed in square inches (for example, by multiplying two lengths in inches), and then you can convert that area to square feet using the formulas above.