Rectangular Prism Surface Area Calculator

Calculate the surface area of a rectangular prism. Enter your values, review the formula, and use the worked result as a quick check for everyday planning.

Rectangular Prism Surface Area Calculator

Calculate the surface area of a rectangular prism.

LengthWidthHeight

e.g., cm, m, ft, in

e.g., cm, m, ft, in

e.g., cm, m, ft, in

Results

Surface Area

184 sq units

Formula: Surface Area = 2(lw + lh + wh)

Rectangular Prism Surface Area Calculator

Find the total external surface area of a rectangular prism (box) from its three dimensions. Useful for gift wrapping, painting estimates, heat sink design, and material cost estimation.

Formula

Surface Area = 2(lw + lh + wh). Sum the areas of all six faces: two length×width faces, two length×height faces, and two width×height faces.

Worked example

8 × 5 × 4: surface area = 2(40 + 32 + 20) = 184 sq units. A 2 m × 1 m × 0.5 m crate: 2(2 + 1 + 0.5) = 7 m² of surface.

Practical guidance

Estimating material for boxes

For plywood, sheet metal, or fabric used to make a box, the surface area gives a theoretical minimum. Add extra for joints, seams, and waste — typically 10-15% for straight cuts.

Paint coverage per coat

If you are painting all six sides of a box, the surface area is the coverage needed per coat. A 1 m × 1 m × 1 m crate needs 6 m² of paint per coat (including all faces).

Frequently asked questions

How do I use the Rectangular Prism Surface Area Calculator?

Enter your values in the fields and the result updates instantly as you type.

What formula does this calculator use?

Surface Area = 2(lw + lh + wh)

Can I use decimal values?

Yes. Decimal inputs are supported for most calculators. Integer-based tools use rounded integer values where appropriate.

Is this calculator free?

Yes. CalcuNimble calculators are free and optimized for fast everyday use.