krit.club logo

Cell Biology - Unicellular and Multicellular Organisms

Grade 6IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Unicellular organisms consist of a single cell that carries out all life processes, such as BacteriaBacteria, AmoebaAmoeba, and ParameciumParamecium.

Multicellular organisms are composed of many cells that are specialized to perform specific functions, such as humans, oak trees, and FungiFungi.

Biological organization in multicellular organisms follows a hierarchy: CellTissueOrganOrgan SystemOrganism\text{Cell} \rightarrow \text{Tissue} \rightarrow \text{Organ} \rightarrow \text{Organ System} \rightarrow \text{Organism}.

Cell specialization (differentiation) allows multicellular organisms to be more complex and efficient than unicellular ones.

The Surface Area to Volume ratio (SAV\frac{SA}{V}) limits cell size; as a cell grows, its volume (VV) increases faster than its surface area (SASA), making nutrient exchange like O2O_2 and CO2CO_2 less efficient.

Magnification (MM) is used to calculate the size of microscopic organisms where II is the image size and AA is the actual size.

📐Formulae

M=IAM = \frac{I}{A}

A=IMA = \frac{I}{M}

SA:V ratio=Total Surface AreaTotal VolumeSA:V \text{ ratio} = \frac{\text{Total Surface Area}}{\text{Total Volume}}

1 mm=1,000μm1 \text{ mm} = 1,000 \mu\text{m}

💡Examples

Problem 1:

An image of a plant cell measures 40 mm40 \text{ mm} in a textbook. If the actual size of the cell is 0.08 mm0.08 \text{ mm}, calculate the magnification.

Solution:

M=IA=40 mm0.08 mm=500×M = \frac{I}{A} = \frac{40 \text{ mm}}{0.08 \text{ mm}} = 500\times

Explanation:

To find the magnification, we divide the image size (I=40 mmI = 40 \text{ mm}) by the actual size (A=0.08 mmA = 0.08 \text{ mm}).

Problem 2:

Calculate the SAV\frac{SA}{V} ratio for a cube-shaped model cell with a side length (ss) of 2 cm2 \text{ cm}.

Solution:

SA=6s2=6(22)=24 cm2SA = 6s^2 = 6(2^2) = 24 \text{ cm}^2, V=s3=23=8 cm3V = s^3 = 2^3 = 8 \text{ cm}^3, SAV=248=3 cm1\frac{SA}{V} = \frac{24}{8} = 3 \text{ cm}^{-1}

Explanation:

The surface area is calculated by 6×side26 \times \text{side}^2 and volume by side3\text{side}^3. The ratio shows how much membrane area is available per unit of volume.

Problem 3:

Convert a cell measurement of 0.05 mm0.05 \text{ mm} into micrometers (μm\mu\text{m}).

Solution:

0.05 mm×1,000=50μm0.05 \text{ mm} \times 1,000 = 50 \mu\text{m}

Explanation:

Since 1 mm=103μm1 \text{ mm} = 10^3 \mu\text{m}, we multiply the value in millimeters by 1,0001,000 to get the size in micrometers.