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21 in 15 in 8 in

21 in 15 in 8 in

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 surface area of the figure.

## Geometry Concept: Understanding 3D Shapes and their Measurements ### Topic: Right Square Pyramid In this section, we explore the basic understanding and properties of a right square pyramid. ### Diagram Explanation: - **Structure**: The diagram above depicts a right square pyramid. The right square pyramid is a 3-dimensional geometric shape with a square base and four triangular faces, all coming to a point at the top (apex). - **Measurements**: - **Height of the Pyramid**: This is the perpendicular distance from the center of the base to the apex of the pyramid. In the diagram, this length is represented by the dotted line from the center of the base to the apex and is labeled as 21 inches. - **Slant Height**: This is the distance from the center of one of the sides of the base of the pyramid up to the apex. In the diagram, the slant height is depicted by a solid line that starts from the base to the apex, measuring 21 inches. - **Base Edge**: Each side of the square base measures 15 inches. This length is displayed as the horizontal solid lines at the base of the pyramid. - **Right Angle**: There is a right angle indicated at one corner of the base formed by the 8-inch and 15-inch base edges. ### Summary: By understanding the basic structure and dimensions of a right square pyramid, students can gain better insight into 3-dimensional geometry. The provided measurements allow for the calculation of the pyramid’s various properties, such as surface area and volume, which are essential in solving related mathematical problems.
Transcribed Image Text:## Geometry Concept: Understanding 3D Shapes and their Measurements ### Topic: Right Square Pyramid In this section, we explore the basic understanding and properties of a right square pyramid. ### Diagram Explanation: - **Structure**: The diagram above depicts a right square pyramid. The right square pyramid is a 3-dimensional geometric shape with a square base and four triangular faces, all coming to a point at the top (apex). - **Measurements**: - **Height of the Pyramid**: This is the perpendicular distance from the center of the base to the apex of the pyramid. In the diagram, this length is represented by the dotted line from the center of the base to the apex and is labeled as 21 inches. - **Slant Height**: This is the distance from the center of one of the sides of the base of the pyramid up to the apex. In the diagram, the slant height is depicted by a solid line that starts from the base to the apex, measuring 21 inches. - **Base Edge**: Each side of the square base measures 15 inches. This length is displayed as the horizontal solid lines at the base of the pyramid. - **Right Angle**: There is a right angle indicated at one corner of the base formed by the 8-inch and 15-inch base edges. ### Summary: By understanding the basic structure and dimensions of a right square pyramid, students can gain better insight into 3-dimensional geometry. The provided measurements allow for the calculation of the pyramid’s various properties, such as surface area and volume, which are essential in solving related mathematical problems.
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