3. As a cell increases in size, the surface area and volume both change. A student performed the following activity to model how the surface area and volume change as a cell increases in size. Activity: 1. The student created three cubes out of paper. The dimensions of each cube are listed in the first column. 2. The student calculated the surface area, volume, and surface-area-to-volume ratio in each of the next columns. Cube Dimensions Surface Area cm2,Volume (cm3 Surface Area to Volume Ratio 3 cm x 3 cm x 3 cm 54 27 2:1 1.5:1 4 cm x 4 cm x 4 cm 5 cm x 5 cm x5 cm 96 64 150 125 1.2:1 The surface-area-to-volume ratio can be calulated to show the relationship between the two values. Study the data table above. Which cell model has the ideal conditions for diffusion to occur the fastest? O Because the 4 x 4 x 4 cell is the median value, diffusion will not occur too fast or too slow in the cell. O Because the 3 x 3 x 3 cell has the highest surface-area-to-volume ratio, diffusion in or out of the cell would occur the fastest. O Because the 5 x 5 x 5 cell has the smallest surface-area-to-volume ratio, diffusion in or out of the cell would occur the fastest. O Because the 5 x5 x 5 cell has the largest surface area, diffusion in or out of the cell would occur the fastest.

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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3. As a cell increases in size, the surface area and volume both change. A student performed the following activity to model how the surface area and volume change as a cell increases in size. The surface-area-to-volume ratio can be calculated to show the relationship between the two values. Study the data table above. Which cell model has the ideal conditions for diffusion to occur the fastest?

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3. As a cell increases in size, the surface area and volume both change. A student performed the following activity to model how the surface area and volume change as a cell increases in
size.
Activity:
1. The student created three cubes out of paper. The dimensions of each cube are listed in the first column.
2. The student calculated the surface area, volume, and surface-area-to-volume ratio in each of the next columns.
Cube Dimensions
Surface Area cm2 Volume (cm3 Surface Area to Volume Ratio
3 cm x 3 cm x 3 cm
54
27
2:1
4 cm x 4 cm x 4 cm
96
64
1.5:1
5 cm x 5 cm x 5 cm
150
125
1.2:1
The surface-area-to-volume ratio can be calculated to show the relationship between the two values. Study the data table above.
Which cell model has the ideal conditions for diffusion to occur the fastest?
O Because the 4 x 4 x 4 cell is the median value, diffusion will not occur too fast or too slow in the cell.
O Because the 3 x 3 x 3 cell has the highest surface-area-to-volume ratio, diffusion in or out of the cell would occur the fastest.
O Because the 5 x 5 x 5 cell has the smallest surface-area-to-volume ratio, diffusion in or out of the cell would occur the fastest.
O Because the 5 x 5 x 5 cell has the largest surface area, diffusion in or out of the cell would occur the fastest.

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