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 , , and .
Multicellular organisms are composed of many cells that are specialized to perform specific functions, such as humans, oak trees, and .
Biological organization in multicellular organisms follows a hierarchy: .
Cell specialization (differentiation) allows multicellular organisms to be more complex and efficient than unicellular ones.
The Surface Area to Volume ratio () limits cell size; as a cell grows, its volume () increases faster than its surface area (), making nutrient exchange like and less efficient.
Magnification () is used to calculate the size of microscopic organisms where is the image size and is the actual size.
📐Formulae
💡Examples
Problem 1:
An image of a plant cell measures in a textbook. If the actual size of the cell is , calculate the magnification.
Solution:
Explanation:
To find the magnification, we divide the image size () by the actual size ().
Problem 2:
Calculate the ratio for a cube-shaped model cell with a side length () of .
Solution:
, ,
Explanation:
The surface area is calculated by and volume by . The ratio shows how much membrane area is available per unit of volume.
Problem 3:
Convert a cell measurement of into micrometers ().
Solution:
Explanation:
Since , we multiply the value in millimeters by to get the size in micrometers.