Find the volume of the “pyramid of cubes” with a square base of side length 2 and a height of 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 35E
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Find the volume of the “pyramid of cubes” with a square base of side length 2 and a height of 2

### Pyramid of Cubes

**Structure Description:**
The diagram below represents a "Pyramid of cubes." 

### Diagram Explanation:
The pyramid is composed of individual cubes stacked in a specific arrangement:

- **Base:** The base of the pyramid is a square made up of 2x2 smaller cubes. Thus, the total number of cubes making up the base is 4.
- **Second Layer:** On top of the base layer, there are two cubes centrally stacked.
- **Top Layer:** Finally, there is a single cube placed at the very top, forming the peak of the pyramid.

### Dimensions:
- The side length of each individual cube is 1 unit.
- The overall side length of the base is 2 units, making it a square.
- The total height of the pyramid is 2 units.

### Summary:
The pyramid structure visually demonstrates how cubes can be arranged to form geometric shapes, useful for understanding basic principles of geometry and volume. This particular configuration creates a simple yet illustrative example of a three-dimensional shape built from smaller, uniform units.
Transcribed Image Text:### Pyramid of Cubes **Structure Description:** The diagram below represents a "Pyramid of cubes." ### Diagram Explanation: The pyramid is composed of individual cubes stacked in a specific arrangement: - **Base:** The base of the pyramid is a square made up of 2x2 smaller cubes. Thus, the total number of cubes making up the base is 4. - **Second Layer:** On top of the base layer, there are two cubes centrally stacked. - **Top Layer:** Finally, there is a single cube placed at the very top, forming the peak of the pyramid. ### Dimensions: - The side length of each individual cube is 1 unit. - The overall side length of the base is 2 units, making it a square. - The total height of the pyramid is 2 units. ### Summary: The pyramid structure visually demonstrates how cubes can be arranged to form geometric shapes, useful for understanding basic principles of geometry and volume. This particular configuration creates a simple yet illustrative example of a three-dimensional shape built from smaller, uniform units.
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