Easily calculate the surface area of a rectangular prism (cuboid) with our free online calculator. Enter length, width, and height to get instant results with formulas, examples, and step-by-step solutions.
A rectangular prism (also known as a cuboid or box) is a 3D solid shape with six rectangular faces. Calculating the surface area of a rectangular prism is useful in construction, packaging, shipping, and design.
This Rectangular Prism Surface Area Calculator helps you quickly find the total area of all six faces using the formula.
Formula for Surface Area of Rectangular Prism
The formula is:
SA=2×(lw+lh+wh)
where:
- l = Length
- w = Width
- h = Height
This formula calculates the total surface area by adding the areas of opposite faces and multiplying by 2.
Step-by-Step Calculation
1. Area of Each Face
- Length × Width = lw
- Length × Height = lh
- Width × Height = wh
Total of face areas=lw+lh+wh
2. Multiply by 2 (because opposite faces are equal)
SA=2×(lw+lh+wh)
Example Calculation
Let’s calculate for a rectangular prism with:
- Length = 5 units
- Width = 3 units
- Height = 4 units
Step 1: Calculate areas of faces
lw=5×3=15
lh=5×4=20
wh=3×4=12
Step 2: Add them up
lw+lh+wh=15+20+12=47
Step 3: Multiply by 2
SA=2×47=94 square units
Final Answer: The surface area of the prism is 94 square units.
Why Use This Calculator?
- Saves time in manual calculations
- Reduces errors in design, construction, and shipping
- Useful for architects, engineers, students, and DIY projects
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