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
![### Volume Calculation of Composite Figure
#### Problem Statement:
**Find the volume of the figure.**
#### Provided Data:
- The area of the L-shaped base is 62 square inches.
- The height of the figure is 7 inches.
#### Question:
16)
#### Figure:
A three-dimensional L-shaped figure is depicted with the base area labeled as 62 square inches and height as 7 inches.
#### Options:
A) 62 in³
B) 434 in³
C) 26,908 in³
D) 3038 in³
#### Explanation:
To determine the volume of the figure, use the formula for the volume of a prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
Given:
- Base Area = 62 sq. in.
- Height = 7 in.
Calculate:
\[ \text{Volume} = 62 \, \text{sq. in.} \times 7 \, \text{in.} = 434 \, \text{in.}³ \]
#### Answer:
B) 434 in³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8311114-a7cb-49e3-b44e-1e05de4bc29a%2F72459eb0-0f43-4ce0-abb2-0f541b33508c%2F8xapu3l.png&w=3840&q=75)
Transcribed Image Text:### Volume Calculation of Composite Figure
#### Problem Statement:
**Find the volume of the figure.**
#### Provided Data:
- The area of the L-shaped base is 62 square inches.
- The height of the figure is 7 inches.
#### Question:
16)
#### Figure:
A three-dimensional L-shaped figure is depicted with the base area labeled as 62 square inches and height as 7 inches.
#### Options:
A) 62 in³
B) 434 in³
C) 26,908 in³
D) 3038 in³
#### Explanation:
To determine the volume of the figure, use the formula for the volume of a prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
Given:
- Base Area = 62 sq. in.
- Height = 7 in.
Calculate:
\[ \text{Volume} = 62 \, \text{sq. in.} \times 7 \, \text{in.} = 434 \, \text{in.}³ \]
#### Answer:
B) 434 in³
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