Rectangular Prism Surface Area Calculator

Measure surfaces with confidence using this advanced rectangular prism calculator. Enter length width and height. Toggle units and rounding. See step explanations and face areas. Calculate total and lateral area for projects study and design. Fast accurate and reliable for daily engineering and classroom use. Includes validation shareable links and copy ready outputs anywhere


What is a Rectangular Prism and why its Surface Area matters?

A rectangular prism is a solid with six rectangular faces and three pairs of equal opposite faces. Its surface area equals the total area of all faces. Surface area matters for paint coverage packaging material heat transfer and protection. Knowing it helps estimate costs plan sheet cutting choose insulation and design efficient objects. It guides sizing strength analysis and maintenance.

Frequently Asked Questions
The total surface area is S = 2(LW + LH + WH) where L is length W is width and H is height. Multiply each pair then double their sum.
Lateral surface area excludes the top and bottom. The formula is SL = 2H(L + W). It is useful for labeling and side covering calculations.
You can enter dimensions in millimeters centimeters meters inches or feet. Results are shown in multiple square units including the one you selected.
You can choose rounding from 0 to 8 decimals. Internally calculations use double precision to minimize rounding error before the final display step.
Yes. Enable the Show steps option to display unit conversion face areas and the formulas with substituted values for transparency and learning.
The prism has three unique face areas. Top and bottom use L×W. Front and back use L×H. Left and right use W×H. Each pair appears twice in the total.
It also provides the space diagonal and the total length of all edges. These help in packaging cutting and material planning tasks.
Use the Copy permalink button. It stores your inputs in the URL so you can reopen or share the exact same calculation on any device.
Results
Total surface area: 62.000 m²
Lateral surface area: 32.000 m²
Quantity m² cm² in² ft² m²
Total surface area 62.000 620000.000 96100.192 667.362 62.000
Lateral surface area 32.000 320000.000 49600.099 344.445 32.000
Top or bottom face 15.000 150000.000 23250.047 161.459 15.000
Front or back face 10.000 100000.000 15500.031 107.639 10.000
Left or right face 6.000 60000.000 9300.019 64.583 6.000
Step by step
  1. Convert inputs to meters: L = 5.000 m, W = 3.000 m, H = 2.000 m.
  2. Compute face areas: LW = 15.000 m², LH = 10.000 m², WH = 6.000 m².
  3. Total surface area formula: S = 2(LW + LH + WH) = 62.000 m².
  4. Lateral surface area formula: SL = 2H(L + W) = 32.000 m².
  5. Extras: space diagonal 6.164 m, sum of edge lengths 40.000 m.
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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.