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 Exercise**
**Question:**
What is the volume?
[Diagram Explanation]
The diagram illustrates a triangular prism.
- The triangular face has a base of 8 mm and a height of 4 mm.
- The length of the prism is 6 mm.
To find the volume of this triangular prism, we use the formula for the volume of a prism:
\[ V = \text{Base Area} \times \text{Height (length of the prism)} \]
For a triangular base,
\[ \text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
\[ = \frac{1}{2} \times 8 \, \text{mm} \times 4 \, \text{mm} \]
\[ = 16 \, \text{mm}^2 \]
Thus,
\[ V = 16 \, \text{mm}^2 \times 6 \, \text{mm} \]
\[ = 96 \, \text{mm}^3 \]
An empty text box is provided for the user to input the volume in cubic millimeters.
[Input Box]
\[ \_\_\_\_\_\_\_\_\_ \text{ cubic millimeters} \]
This exercise aims to help students practice calculating the volume of a triangular prism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff9a8e26-af69-42fc-821c-9ae0b96a04a7%2Fef70bd9a-b695-4c7d-95ee-de8d6909c4c9%2F0c3umpp_processed.png&w=3840&q=75)
Transcribed Image Text:**Volume Calculation Exercise**
**Question:**
What is the volume?
[Diagram Explanation]
The diagram illustrates a triangular prism.
- The triangular face has a base of 8 mm and a height of 4 mm.
- The length of the prism is 6 mm.
To find the volume of this triangular prism, we use the formula for the volume of a prism:
\[ V = \text{Base Area} \times \text{Height (length of the prism)} \]
For a triangular base,
\[ \text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
\[ = \frac{1}{2} \times 8 \, \text{mm} \times 4 \, \text{mm} \]
\[ = 16 \, \text{mm}^2 \]
Thus,
\[ V = 16 \, \text{mm}^2 \times 6 \, \text{mm} \]
\[ = 96 \, \text{mm}^3 \]
An empty text box is provided for the user to input the volume in cubic millimeters.
[Input Box]
\[ \_\_\_\_\_\_\_\_\_ \text{ cubic millimeters} \]
This exercise aims to help students practice calculating the volume of a triangular prism.
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