Question

True or False: Smaller objects (like a cell)

will have a greater surface area to volume
ratio
False
True

Answer 1

True

Step-by-step explanation:

If you take a cube with each side length being 1cm, then the surface of each square face has an area of
`1cm^(2)`, and the total surface area is
`6cm^(2)`, whilst the volume is
`1cm^(3)`. This has a SA:V ratio of 6:1

If you take a cube with each side length of 5cm, then each square face has an area of
`25cm^(2)`, as a result the total surface area of the cube is
`150cm^(2)`. The volume of the cube
`125cm^(3)`, so the SA:V ratio is 150:125, which simplifies to 6:5

Therefore the SA:V ratio increases as objects get smaller.

Hope this helps!