are there limits to cell size? - iredell-statesville schools / …€¦ · ·...
TRANSCRIPT
Demonstration Recap:
Using 3 different sized agar blocks to represent cells (3 cm, 2 cm, and 1 cm), we observed the “nutrient uptake” of each when placed in solution.
Although the nutrients traveled into the “cells” at the same speed, the “cell” that appeared to receive the most nourishment was the smallest one. This can be explained by the distance a particle from outside the cell would need to travel inwards to reach the center. In the small cell, this distance is the smallest.
Data: Surface Areas & Volumes
Surface Area =
(6 x w x l)
Volume =
(w x l x h)
Surface Area
Volume
1 cm
Cube
6 x 1 x 1 = 6 1 x 1 x 1 = 1 6/1 = 6
2 cm
Cube
6 x 2 x 2 = 24 2 x 2 x 2 = 8 24/8 = 3/1 = 3
3 cm
Cube
6 x 3 x 3 = 54 3 x 3 x 3 = 27 54/27 = 2/1 = 2
Which “cell” was most efficient?
This is the cell in which the nutrients (pink)
got closest to reaching the core of the
“cell”.
Answer: the smallest cell
Based on this answer, can you tell me…
What is the relationship between cell
size and the rate at which nutrients
reach the core of the cell?
The “cell” that received the most nutrition for all of its organelles was the smallest cell.
It has a surface area to volume ratio of 6 to 1, which is the highest of all three “cells”. This means more of the cell was able to receive nutrients because it was directly exposed to the nutrient solution. The part of the cell that was not exposed did not receive nutrients until they traveled into the area. However, since the cell took up very little space (has a very small volume), the nutrients did not have far to travel once they got inside the cell.
Does a cell have to be round?
No, any
shape is
possible-
however, the
ratio of
Surface Area
to Volume
may vary.
What is the best shape and size for
a cell?
The best shape and size for a cell is one
where the ratio of surface area to volume
is high enough that the cell gets complete
nourishment with minimal harm inflicted on
itself in the process.
HUH?! What?
For instance…
IF you had a cell
with a very small
SA/V ratio
(volume is very
large), your cell
might be so big
that nutrients
cannot reach
their destination
in time, and the
cell will die.
But on the other hand…
IF you have a cell
with a very large SA/V
ratio (surface area is
very large), your cell
will become very
fragile and thin. It
could die easily from
heat exposure or
snags.
The best cell shape…
Would probably be a
cell that is long and
thin, tube-like.
Good examples:
nerve cells, muscle
cells, xylem and
phloem cells in plants.