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
![### Understanding Rectangular Prisms: Volume Calculation
This diagram illustrates a rectangular prism, which is split into two sections. It includes the following dimensions:
- **Length of the top section**: 10 cm
- **Height of the top section**: 2 cm
- **Height of the bottom section**: 5 cm
- **Total height of the combined sections**: 7 cm
- **Depth of the combined sections**: 3 cm
#### Purpose:
The task is to calculate the total volume of the entire prism.
### Approach:
1. **Volume of a Rectangular Prism**:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
2. **Calculate the Volume**:
- **Top Section**:
- Dimensions: 10 cm (length) × 3 cm (depth) × 2 cm (height)
- **Bottom Section**:
- Dimensions: 10 cm (length) × 3 cm (depth) × 5 cm (height)
3. **Total Volume**:
- Combine the volumes of both sections to find the total volume.
Finally, the text provides a space to write the calculated volume of the entire prism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa845f802-60f3-4c15-8425-576c0ee51580%2Fdfa45fe2-84cc-44a0-9564-eadf2d927b15%2Fyx01ymm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Rectangular Prisms: Volume Calculation
This diagram illustrates a rectangular prism, which is split into two sections. It includes the following dimensions:
- **Length of the top section**: 10 cm
- **Height of the top section**: 2 cm
- **Height of the bottom section**: 5 cm
- **Total height of the combined sections**: 7 cm
- **Depth of the combined sections**: 3 cm
#### Purpose:
The task is to calculate the total volume of the entire prism.
### Approach:
1. **Volume of a Rectangular Prism**:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
2. **Calculate the Volume**:
- **Top Section**:
- Dimensions: 10 cm (length) × 3 cm (depth) × 2 cm (height)
- **Bottom Section**:
- Dimensions: 10 cm (length) × 3 cm (depth) × 5 cm (height)
3. **Total Volume**:
- Combine the volumes of both sections to find the total volume.
Finally, the text provides a space to write the calculated volume of the entire prism.
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
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