Sothea needs to find the surface area of this regular polygonal pyramid. What answer should she get?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 23T
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Sothea needs to find the surface area of this regular polygonal pyramid. What answer should she get?

**Question 12:**

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**Sothea needs to find the surface area of the figure shown. What does he get?**

The illustration depicts a 3-dimensional pyramid with a rectangular base. Key dimensions provided include:
1. The height of the pyramid, which is perpendicular from the apex to the center of the base, measuring 24 units.
2. The base dimensions, where the length is 6 units and the width is 4 units.

- The pyramid’s slant heights are indicated by the dotted lines.

**Graph/Diagram Explanation:**

- The figure's base is a rectangle with dimensions of 6 units (length) and 4 units (width).
- The height of the pyramid from the center of the base to the apex is 24 units.

Understanding these measurements is essential in calculating the surface area, which involves calculating the area of the base and the areas of the triangular faces connected to the base.
Transcribed Image Text:**Question 12:** --- **Sothea needs to find the surface area of the figure shown. What does he get?** The illustration depicts a 3-dimensional pyramid with a rectangular base. Key dimensions provided include: 1. The height of the pyramid, which is perpendicular from the apex to the center of the base, measuring 24 units. 2. The base dimensions, where the length is 6 units and the width is 4 units. - The pyramid’s slant heights are indicated by the dotted lines. **Graph/Diagram Explanation:** - The figure's base is a rectangle with dimensions of 6 units (length) and 4 units (width). - The height of the pyramid from the center of the base to the apex is 24 units. Understanding these measurements is essential in calculating the surface area, which involves calculating the area of the base and the areas of the triangular faces connected to the base.
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