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How does a cells ratio of surface area to volume change as the cell grows larger?

Answer 1

Decrease.

Assuming that the cell's shape remains unchanged, you can use simple shapes like spheres or cuboids to demonstrate that if the cell increases its linear dimension (length) by a factor of 2, its surface area will increase by a factor of 4, and its volume will increase by a factor of 8.

The surface area to volume ratio falls as the volume increases more quickly than the surface area.

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Answer 2

William Albracht

A cell's surface area to volume ratio falls as it gets bigger.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.