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.

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Math

Geometry

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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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.

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