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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

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
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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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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