Question

A. Determine the surface area, volume, and surface area to volume ratio for the following three blocks. Then, state which one you believe would be the most efficient as a cellular morphology, and write a summary stating why. (10 points)
b. complete table, which is most efficient

Block Dimensions

Surface Area (cm2)

Volume (cm3)

Surface Area to Volume Ratio

1.5 cm x 1.5 cm x 1.5 cm

.5 cm x .5 cm x 6 cm

3 cm x 2 cm x 2 cm

Answer 1

Explanation:

In a cell, the rate of diffusion is higher when the surface area to volume ratio is higher.  

- given that a cube or block has 6 sides...

Volume ⇒ 1.5 cm x 1.5 cm x 1.5 cm= 3.375  $cm^{3}$

Surface area  ⇒ (1.5 cm x 1.5 cm x 1.5 cm) x 6=13.5   $cm^{2}$

Surface area :Volume  ⇒ $\frac{13.5}{3.75}$= 1:4

Volume  ⇒.5 cm x .5 cm x 6 cm= 1.50 $cm^{3}$

Surface area  ⇒(2 (.5 cm x .5 cm)) + (4(.5 cm x 6 cm))= 0.5+12 = 12.5 $cm^{2}$

Surface area :Volume ⇒  $\frac{12.5}{1.5}$= 25: 3

Volume  ⇒3 cm x 2 cm x 2 cm= 12 $cm^{3}$

Surface area  ⇒(2 (3 cm x 3 cm ))+(4(3 cm x 2 cm))=42  $cm^{2}$

Surface area :Volume  ⇒  $\frac{42}{12}$= 7:2

The highest ratio is said to be the most efficient; with a higher surface area, more substances can pass across the surface of the cell at a time.

Further Explanation:

Cells require all substances to cross the cell membrane. These, like agar, which contains small pores, is semi permeable -only allowing some molecules to pass cross the membrane or surface. The cubes contain a pH indicator that reacts with the solute, vinegar. Cell membranes contain lipids which form a barrier; polarity or arrangement can give these non-polar macromolecules hydrophilic and hydrophobic properties.

Via diffusion, small water molecules can move across the phospholipid bilayer acts as a semi-permeable membrane into the extracross the phospholipid bilayer acts as a semi-permeable membrane into the extracellular fluid or the cytoplasm which are both hydrophilic and contain large concentrations of polar water molecules or other water-soluble compounds. The hydrophilic heads of the bilayer are attracted to water while their water-repellent hydrophobic tails face towards each other- allowing molecules of water and water soluble molecules, to diffuse across the membrane along the concentration gradient

acellular fluid or the cytoplasm which are both hydrophilic and contain large concentrations of polar water molecules or other water-soluble compounds. The hydrophilic heads of the bilayer are attracted to water while their water-repellent hydrophobic tails face towards each other- allowing molecules of water and water soluble molecules, to diffuse across the membrane along the concentration gradient

Thus in smaller cubes the rate of diffusion is higher as the surface area to volume ratio is higher; the vinegar diffuses all the way to the center, as indicated by the color change in the cube.

However as cells increase in size, their surface area:volume ratios decrease rapidly; larger cells, like the larger agar cubes, have a harder time moving molecules across the membrane, so the color change cannot be seen in the middle, as there was less of a permeable surface for the vinegar to diffuse across. to combat this, eukaryotic cells have specialized mechanisms to transport molecules along with membrane-bound organelles like the endoplasmic reticulum that provide a higher surface area for absorption and enable more efficient transportation.

Learn more about membrane components at brainly.com/question/1971706

Learn more about plasma membrane transport at brainly.com/question/11410881

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