A square right regular pyramid is formed by cutting, folding, and gluing the pattern to the right. 72 cm 60 cm (a) What is the slant height of the pyramid? (b) What is the lateral surface area of the pyramid? (c) Use the Pythagorean theorem to find the height of the pyramid. (d) What is the volume of the pyramid? 72 cm

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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A square right regular pyramid is formed by cutting, folding, and gluing the pattern to the right.

(a) What is the slant height of the pyramid?  
(b) What is the lateral surface area of the pyramid?  
(c) Use the Pythagorean theorem to find the height of the pyramid.  
(d) What is the volume of the pyramid?  

**Diagram Explanation:**  
The diagram shows a pattern that can be folded to form a pyramid. It consists of a square base and four triangular sides. Each side of the square base is 72 cm. The slant height of each triangular side is 60 cm. The diagram also includes a 90-degree angle marking the right angles at the base's corners.
Transcribed Image Text:A square right regular pyramid is formed by cutting, folding, and gluing the pattern to the right. (a) What is the slant height of the pyramid? (b) What is the lateral surface area of the pyramid? (c) Use the Pythagorean theorem to find the height of the pyramid. (d) What is the volume of the pyramid? **Diagram Explanation:** The diagram shows a pattern that can be folded to form a pyramid. It consists of a square base and four triangular sides. Each side of the square base is 72 cm. The slant height of each triangular side is 60 cm. The diagram also includes a 90-degree angle marking the right angles at the base's corners.
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