Surface Area of a Rectangular Prism
Surface Area of a Rectangular Prism
\[A = 2(lw + lh + wh)\]
Variables
A = surface area (m²)
l = length of the prism (m)
w = width of the prism (m)
h = height of the prism (m)
Description
What is this formula?
This formula calculates the total surface area of a rectangular prism. It adds the areas of all six rectangular faces.
When to use it
Use this formula when calculating the total external area of box-shaped objects or structures.
Example
If a rectangular prism has:
length = 4 m
width = 3 m
height = 2 m
A = 2(4×3 + 4×2 + 3×2)
A = 2(12 + 8 + 6)
A = 52 m²
Applications
- Geometry and mathematics
- Construction and architecture
- Packaging design
- Surface coating calculations
- Engineering and manufacturing
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