Surface Area to Volume Ratio Calculator

Compare surface area and volume for common 3D shapes.

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How to Use the Surface Area to Volume Ratio Calculator

  1. Select a shape: cube, sphere, or cylinder.
  2. Enter the side length or radius.
  3. For a cylinder, also enter the height.
  4. Click Calculate to see surface area, volume, and their ratio.

Formula

Cube: SA=6s², V=s³  |  Sphere: SA=4πr², V=(4/3)πr³  |  Cylinder: SA=2πr²+2πrh, V=πr²h

Worked Example

A cube with side 5 has a surface area of 150 and volume of 125, giving a surface-area-to-volume ratio of 1.2.

About This Calculator

The surface-area-to-volume ratio matters in biology, engineering, and cooking — smaller objects have proportionally more surface area, which affects heat loss, reaction speed, and more.

Frequently Asked Questions

What does surface-area-to-volume ratio measure?

How much surface area an object has relative to its volume.

Why does this ratio matter in biology?

It affects heat loss, nutrient absorption, and gas exchange rates in organisms.

How does this ratio change as an object gets larger?

It decreases, since volume grows faster (cubed) than surface area (squared) as size increases.

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