Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Cell Theory consists of three main principles: 1. All living organisms are composed of one or more cells. 2. The cell is the basic unit of structure and organization in organisms. 3. Cells arise from pre-existing cells.
All living things perform seven basic life processes, often remembered by the acronym : Metabolism, Reproduction, Homeostasis, Growth, Response (Sensitivity), Excretion, and Nutrition.
Metabolism refers to the sum of all chemical reactions within a cell, including the release of energy through production.
Cells are measured in micrometers () and nanometers (). Conversion: and .
The surface area to volume ratio () is a limiting factor for cell size. As a cell grows, its volume () increases faster than its surface area (), making it harder to move materials like and efficiently across the membrane.
Unicellular organisms, such as or , must perform all functions of life within a single cell.
Multicellular organisms exhibit emergent properties, where the whole organism is more than the sum of its cellular parts due to cellular differentiation and specialization.
📐Formulae
💡Examples
Problem 1:
A student views a plant cell under a microscope. The image of the cell measures in length. If the actual size of the cell is , calculate the magnification used.
Solution:
Explanation:
First, convert the image size from millimeters to micrometers so the units match: . Then, divide the image size by the actual size () to get a magnification of .
Problem 2:
Explain why a cube-shaped cell with a side length of is more efficient at waste removal than a cube-shaped cell with a side length of .
Solution:
For the cell, . For the cell, .
Explanation:
The smaller cell has a higher surface area to volume ratio ( vs ). This means it has more membrane surface available relative to its internal volume to transport waste products out of the cell efficiently.