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Surface Area Calculator

Find total or lateral surface area for common 3D solids with optional open bases on cylinders and cones.

Clear formulas
Educational steps
Detail breakdown

Surface-area tool with include-base toggle for cylinders and cones.

Limitation: Educational geometry.

Jump to calculator · Sources & review

How to Use the Surface Area Calculator

Surface-area tool with include-base toggle for cylinders and cones.

1

Open the Surface Area calculator and read field labels.

Match the mode

Educational geometry.

What It Calculates

Surface-area tool with include-base toggle for cylinders and cones.

Worked Examples

Box 4×3×5

Inputs

shape:box
length:4
width:3
height:5

Result

94

2(12+20+15) = 94.

Sphere r = 3

Inputs

shape:sphere
radius:3

Result

≈113.097

4πr².

Open cylinder

Inputs

shape:cylinder
radius:2
height:5
includeBase:no

Result

≈62.832

Lateral 2πrh only.

Check your mode

Educational geometry.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

SA ​=​ 2​(​lw ​+​ lh ​+​ wh​)​

Scientific Background

Standard geometry definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Surface Area Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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