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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![# Geometry Assignment 4: Surface Area & Sector Area
## Instructions:
For questions 1 - 3, find the surface area of each figure. Include correct units. Show work.
### Question 1:
A triangular pyramid with the following dimensions:
- Slant heights: 12.1 km, 11.9 km
- Base edges: 9 km, 10 km
\[ \text{Surface Area (SA)} = \_\_\_\_\_\_\_\_\_ \]
### Question 2:
A square pyramid with the following dimensions:
- Slant height: 24 ft
- Base edge: 14 ft
- Vertices distance: 6 ft each (right triangle base)
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Question 3:
A different pyramid with a base edge of 4 ft and a height of 6 ft.
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Question 4:
4a. Draw the net of the following figure:
A pyramid with base edges of 10 ft, slant height 20 ft, and height 16 ft (right triangle base).
4b. Find the surface area of the pyramid. Include correct units. Show work.
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Diagram Descriptions:
1. The first diagram is a triangular pyramid, where you need to calculate the surface area given specific slant heights and base edges.
2. The second diagram is a square pyramid, with indications of using the Pythagorean Theorem to find certain lengths.
3. The third diagram represents a different pyramid structure, suggesting the use of the Pythagorean Theorem to determine the surface area.
4. In question 4, you are required to draw a net of a pyramid (unfolded 2D representation of the 3D figure) and calculate its surface area.
Complete each problem by showing all steps of your calculation to find the surface area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb355f58-8220-498e-9821-0caf5916efc6%2F2d0d5991-e51a-4823-9766-2f33b935c06d%2F0221x1b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Geometry Assignment 4: Surface Area & Sector Area
## Instructions:
For questions 1 - 3, find the surface area of each figure. Include correct units. Show work.
### Question 1:
A triangular pyramid with the following dimensions:
- Slant heights: 12.1 km, 11.9 km
- Base edges: 9 km, 10 km
\[ \text{Surface Area (SA)} = \_\_\_\_\_\_\_\_\_ \]
### Question 2:
A square pyramid with the following dimensions:
- Slant height: 24 ft
- Base edge: 14 ft
- Vertices distance: 6 ft each (right triangle base)
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Question 3:
A different pyramid with a base edge of 4 ft and a height of 6 ft.
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Question 4:
4a. Draw the net of the following figure:
A pyramid with base edges of 10 ft, slant height 20 ft, and height 16 ft (right triangle base).
4b. Find the surface area of the pyramid. Include correct units. Show work.
**Hint:** Use the Pythagorean Theorem.
\[ \text{Surface Area (SA)} \approx \_\_\_\_\_\_\_\_\_ \]
### Diagram Descriptions:
1. The first diagram is a triangular pyramid, where you need to calculate the surface area given specific slant heights and base edges.
2. The second diagram is a square pyramid, with indications of using the Pythagorean Theorem to find certain lengths.
3. The third diagram represents a different pyramid structure, suggesting the use of the Pythagorean Theorem to determine the surface area.
4. In question 4, you are required to draw a net of a pyramid (unfolded 2D representation of the 3D figure) and calculate its surface area.
Complete each problem by showing all steps of your calculation to find the surface area.
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