. On the same graph, you should include the following two lines : i. Cell surface area on the x-axis and the 1:1 surface area ratio on the y-axis (these values will be identical yielding a diagonal line with a slope of 1). ii. Cell surface area on the x-axis and cell volume on the y-axis. b. Based on a comparison of these two curves and your data in Table 3, at what approximate range of points (side length of a cell) does cell volume begin to exceed surface area? Explain the implications beyond this range for cells.

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Based on the data in Table 3 above, prepare the following scatter plot graph.

a. On the same graph, you should include the following two lines :

i. Cell surface area on the x-axis and the 1:1 surface area ratio on the y-axis (these values will be identical yielding a diagonal line with a slope of 1).

ii. Cell surface area on the x-axis and cell volume on the y-axis.

b. Based on a comparison of these two curves and your data in Table 3, at what approximate range of points (side length of a cell) does cell volume begin to exceed surface area? Explain the implications beyond this range for cells.

Table 3: Effect of side length on surface area and volume.
Side Length (mm) Surface Area (mm?)
Volume (mm³)
SA:V ratio
1:1 SA ratio
0.0001
0.000000006
0.000000000001
60000
0.00000006
0.001
0.000006
0.000000001
6000
0.000006
0.01
0.0006
0.000001
600
0.0006
0.1
0.06
0.001
60
0.06
1
6
1
6.
150
125
1.2
150
10
600
1000
0.6
600
15
1350
3375
0.4
1350
20
2400
8000
0.3
2400
Transcribed Image Text:Table 3: Effect of side length on surface area and volume. Side Length (mm) Surface Area (mm?) Volume (mm³) SA:V ratio 1:1 SA ratio 0.0001 0.000000006 0.000000000001 60000 0.00000006 0.001 0.000006 0.000000001 6000 0.000006 0.01 0.0006 0.000001 600 0.0006 0.1 0.06 0.001 60 0.06 1 6 1 6. 150 125 1.2 150 10 600 1000 0.6 600 15 1350 3375 0.4 1350 20 2400 8000 0.3 2400
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