Calculator Inputs
Use the form below to compute total surface area, lateral area, diagonal, volume, and related prism measurements.
Formula Used
The total surface area of a rectangular prism is the sum of all six rectangular faces. Opposite faces are equal, so the formula becomes compact and efficient.
Surface Area = 2(lw + lh + wh)
Lateral Surface Area = 2h(l + w)
Base Area = l × w
Space Diagonal = √(l² + w² + h²)
Here, l is length, w is width, and h is height. The calculator also shows volume and edge length for a fuller prism analysis.
How to Use This Calculator
- Enter the prism length, width, and height.
- Choose a measurement unit such as cm, m, or ft.
- Pick the number of decimal places you want.
- Click Calculate Now to display results above the form.
- Review the total surface area, lateral area, diagonal, and volume.
- Use the export buttons to download CSV data or a PDF report.
Example Data Table
| Length | Width | Height | Surface Area | Lateral Area | Space Diagonal |
|---|---|---|---|---|---|
| 6.00 | 4.00 | 3.00 | 108.00 | 60.00 | 7.81 |
| 10.00 | 7.00 | 2.00 | 208.00 | 68.00 | 12.37 |
| 12.00 | 8.00 | 5.00 | 392.00 | 200.00 | 15.26 |
These examples help compare face-area breakdowns and verify the formula with common rectangular prism dimensions.
FAQs
1. What is the surface area of a rectangular prism?
It is the total area covering all six faces. Add the areas of the top, bottom, front, back, left, and right faces together.
2. What formula does this calculator use?
The calculator uses SA = 2(lw + lh + wh). It also computes lateral area, base area, volume, diagonal, and total edge length.
3. What is lateral surface area?
Lateral surface area includes the four side faces only. It excludes the top and bottom faces and is calculated as 2h(l + w).
4. Can I use decimals for dimensions?
Yes. The calculator accepts decimal values, which is useful for design, packaging, fabrication, and geometry practice where exact measurements matter.
5. What unit is shown in the answer?
Area results use squared units, such as cm² or ft². Volume uses cubic units, and diagonal and edge length stay in the original length unit.
6. Why is the surface area different from volume?
Surface area measures the outside covering. Volume measures the space inside the prism. They describe different properties and use different formulas.
7. When is this calculator useful?
It helps with box design, wrapping estimates, painting, material planning, classroom geometry, and checking prism dimensions in technical work.
8. Can I export my results?
Yes. Download the current calculation as a CSV file or save a styled PDF report using the export buttons above the form.