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

![**Activity: Finding the Volume of a Composite Figure**
**Objective:** Learn how to calculate the volume of a composite solid figure.
---
**Instructions:**
Find the volume of the given figure. Round to the nearest cubic mile.
**Diagram Description:**
The diagram shows a composite three-dimensional figure made up of rectangular prisms. The dimensions of the components are labeled as follows:
- The left section has a width of 2 miles, a length of 4 miles, and a height of 3 miles.
- The middle section has a width of 2 miles and a length of 5 miles.
- The right section is raised with dimensions of 2 miles width, 2 miles length, and a 6-mile height.
- The overall length of the base of the figure is 13 miles.
**Steps to Solve:**
1. **Break down the figure** into simpler shapes (rectangular prisms) to calculate each volume separately.
2. **Calculate the volume** of each rectangular prism using the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
3. **Sum the volumes of each part** to find the total volume.
Once you complete your calculations, input your answer in the box provided as cubic miles (\(mi^3\)).
**Note:** Ensure that all dimensions are considered correctly, taking overlaps into account.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa845f802-60f3-4c15-8425-576c0ee51580%2Fe9f42b58-a847-4778-aea6-dd89a69cbae3%2Fr530rd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Activity: Finding the Volume of a Composite Figure**
**Objective:** Learn how to calculate the volume of a composite solid figure.
---
**Instructions:**
Find the volume of the given figure. Round to the nearest cubic mile.
**Diagram Description:**
The diagram shows a composite three-dimensional figure made up of rectangular prisms. The dimensions of the components are labeled as follows:
- The left section has a width of 2 miles, a length of 4 miles, and a height of 3 miles.
- The middle section has a width of 2 miles and a length of 5 miles.
- The right section is raised with dimensions of 2 miles width, 2 miles length, and a 6-mile height.
- The overall length of the base of the figure is 13 miles.
**Steps to Solve:**
1. **Break down the figure** into simpler shapes (rectangular prisms) to calculate each volume separately.
2. **Calculate the volume** of each rectangular prism using the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
3. **Sum the volumes of each part** to find the total volume.
Once you complete your calculations, input your answer in the box provided as cubic miles (\(mi^3\)).
**Note:** Ensure that all dimensions are considered correctly, taking overlaps into account.
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 1 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