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part of the cell. the volume of a cell is the amount of space it takes …

Question

part of the cell. the volume of a cell is the amount of space it takes up. by comparing a cells surface area to volume ratio, we can figure out how efficient a cell is at transporting materials in and out. the larger the ratio, the more efficient the cell is. using some simple calculations, we can calculate the surface area to volume ratio of different sized cells. (note, most cells are not shaped like cubes, but we will use cubes to simplify the math).
formula for surface area of a cube: length x width x number of sides
formula for volume of a cube: length x width x height
calculate the surface area and volume of the three beet cubes you have soaking in the bleach. to find the sa:v ratio, simplify the numbers by finding the greatest common factor. use the example below as a guide.
length of sides surface area volume sa : v ratio
example: 5 cm 150 cm² 125 cm³ 6:5
2 cm 24 cm² 8 cm³ 3:1
1 cm 6 cm² 1 cm³ 6:1
0.5 cm 1.5 cm² 0.125 cm³ 12:1
checkpoint #2:
d. smaller cells are more / less (circle one) efficient than larger cells.
e. which size beet cube had the largest surface area to volume ratio?
back to the lab!

  1. after 30 minutes have passed, use a spoon and remove the cubes from the beaker and place them on the paper plate. dab off any excess bleach with a paper towel.
  2. using a knife, slice the beet cubes in half. observe any color changes and sketch what you see in the diagram below.
  3. using a ruler, measure the diameter of the remaining red pigment and record in the table below. be sure to include units on your measurements.

cube size diameter of red pigment
2 cm
1 cm
0.5 cm

Explanation:

Step1: Analyze surface - area - to - volume ratio concept

The larger the surface - area - to - volume (SA:V) ratio, the more efficient the cell (or in this case, beet cube) is at transporting materials.

Step2: Answer part d

Smaller cells (or cubes) have a larger SA:V ratio. So, smaller cells are MORE efficient than larger cells.

Step3: Answer part e

From the table, the 0.5 cm side - length beet cube has the largest SA:V ratio of 12:1.

Answer:

d. MORE
e. 0.5 cm