A museum pedestal has the specifications listed below. • The design is in the shape of a right prism. • The bases are regular pentagons with apothems that are 10 centimeters. • The height is 12 centimeters, and the length of each side of the base is 8 centimeters. The figure shows the design for the pedestal. PEDESTAL apothem=10 cm height 12 cm 8 cm side The formula for finding the area of a regular pentagon is pa , where p is the perimeter and a is the apothem. What is the surface area of the pedestal? А. 880 cm? В. 1,280 cm2 C. 1,088 cm2 688 cm?
A museum pedestal has the specifications listed below. • The design is in the shape of a right prism. • The bases are regular pentagons with apothems that are 10 centimeters. • The height is 12 centimeters, and the length of each side of the base is 8 centimeters. The figure shows the design for the pedestal. PEDESTAL apothem=10 cm height 12 cm 8 cm side The formula for finding the area of a regular pentagon is pa , where p is the perimeter and a is the apothem. What is the surface area of the pedestal? А. 880 cm? В. 1,280 cm2 C. 1,088 cm2 688 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
Related questions
Question
The diagram includes the following labels:
- "apothem=10 cm"
- "height=12 cm"
- Side of the base labeled as "8 cm"
### Formula for the Area of a Regular Pentagon
The formula for finding the area of a regular pentagon is given by:
\[ \frac{1}{2} pa \]
where \( p \) is the perimeter and \( a \) is the apothem.
### Question
What is the surface area of the pedestal?
### Answer Choices:
A. 880 cm²
B. 1,280 cm²
C. 1,088 cm²
D. 688 cm²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb602927-d5c2-4b17-99bc-cf43c066f5a5%2Fa38e9afe-5f15-4fbb-bede-ff7e58348510%2Fuu7wxgt_processed.png&w=3840&q=75)
Transcribed Image Text:### Museum Pedestal Design Specifications
A museum pedestal has the following specifications:
- The design is in the shape of a right prism.
- The bases are regular pentagons with apothems that are 10 centimeters.
- The height is 12 centimeters, and the length of each side of the base is 8 centimeters.
The figure below illustrates the design for the pedestal.
The diagram includes the following labels:
- "apothem=10 cm"
- "height=12 cm"
- Side of the base labeled as "8 cm"
### Formula for the Area of a Regular Pentagon
The formula for finding the area of a regular pentagon is given by:
\[ \frac{1}{2} pa \]
where \( p \) is the perimeter and \( a \) is the apothem.
### Question
What is the surface area of the pedestal?
### Answer Choices:
A. 880 cm²
B. 1,280 cm²
C. 1,088 cm²
D. 688 cm²
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning