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
Topic Video
Question
can you find part a please
![### Surface Area Calculation of Geometric Figures
#### Problem Statement:
Find the surface area of each figure:
#### Figures:
**(a)** Rectangular Prism
- Dimensions:
- Length: 8 cm
- Width: 3 cm
- Height: 4 cm
**Diagram:**
The diagram shows a rectangular prism with the given dimensions labeled.
**(b)** Cylinder
- Dimensions:
- Radius: 6 cm
- Height: 20 cm
**Diagram:**
The diagram shows a cylinder with the given dimensions labeled.
### Explanation:
To calculate the surface area of these figures, we use specific formulas for each type of geometric shape.
#### (a) Rectangular Prism:
A rectangular prism has six faces. The surface area \(S\) is given by:
\[ S = 2lw + 2lh + 2wh \]
Where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
#### (b) Cylinder:
A cylinder consists of two circular bases and one rectangular side that wraps around. The surface area \(S\) is given by:
\[ S = 2\pi r^2 + 2\pi rh \]
Where \(r\) is the radius and \(h\) is the height. The term \(2\pi r^2\) accounts for the two circular bases, and \(2\pi rh\) accounts for the rectangular side.
Using these formulas, you can find the surface areas of the given figures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf1e6cab-6624-4e1a-9846-07e4f5c041df%2F13d6f7e2-952e-473a-b1dd-310f32775309%2Fjgilh1v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Surface Area Calculation of Geometric Figures
#### Problem Statement:
Find the surface area of each figure:
#### Figures:
**(a)** Rectangular Prism
- Dimensions:
- Length: 8 cm
- Width: 3 cm
- Height: 4 cm
**Diagram:**
The diagram shows a rectangular prism with the given dimensions labeled.
**(b)** Cylinder
- Dimensions:
- Radius: 6 cm
- Height: 20 cm
**Diagram:**
The diagram shows a cylinder with the given dimensions labeled.
### Explanation:
To calculate the surface area of these figures, we use specific formulas for each type of geometric shape.
#### (a) Rectangular Prism:
A rectangular prism has six faces. The surface area \(S\) is given by:
\[ S = 2lw + 2lh + 2wh \]
Where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
#### (b) Cylinder:
A cylinder consists of two circular bases and one rectangular side that wraps around. The surface area \(S\) is given by:
\[ S = 2\pi r^2 + 2\pi rh \]
Where \(r\) is the radius and \(h\) is the height. The term \(2\pi r^2\) accounts for the two circular bases, and \(2\pi rh\) accounts for the rectangular side.
Using these formulas, you can find the surface areas of the given figures.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
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