Surface Area of a Rectangular Prism Calculator

Length (l):

Width (w):

Height (h):

Surface Area (cm²): Surface Area (m²): Surface Area (mm²): Surface Area (in²): Surface Area (ft²):

1. What is a Surface Area of a Rectangular Prism Calculator?

Definition: This calculator computes the surface area of a 3D rectangular prism using its length (l), width (w), and height (h). Note: A 2D rectangle has only an area (\( \text{Area} = l \times w \)), not a surface area; this tool applies to the 3D prism.

Purpose: Useful for geometry, construction, and design applications, such as calculating material needs for coating or wrapping a rectangular prism.

2. How Does the Calculator Work?

Formula:

Surface Area: \( \text{Surface Area} = 2(lw + lh + wh) \)

Explanation: Inputs are converted to meters, and the surface area is calculated by summing the areas of the six faces: two faces of \( l \times w \), two faces of \( w \times h \), and two faces of \( l \times h \). Results are converted to cm², m², mm², in², and ft².

3. Importance of Surface Area Calculation

Details: Essential for determining material requirements, such as paint or wrapping paper, for three-dimensional rectangular objects.

4. Using the Calculator

Tips: Enter length (l), width (w), and height (h) in units (mm, cm, m, in, ft; >0). Results include surface area in cm², m², mm², in², and ft².