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
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7a1580d-b0b0-434b-847e-741d03f01d82%2Fd0e5a5cc-d140-4476-af30-6dbf489941eb%2F6elw3s8_processed.jpeg&w=3840&q=75)
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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