Find the volume of the entire figure Find the volume of the prism.Find the volume of the half-cylinder

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the volume of the entire figure Find the volume of the prism.Find the volume of the half-cylinder
**Volume Calculation Problem**

**Instructions:**
Find the volume of the entire figure. Be sure to TYPE IN/ SHOW ALL THE WORK HERE!!!

**Hints:**
1. Find the volume of the prism.
2. Find the volume of the half-cylinder.

**Diagram Description:**
The image represents a composite figure with a rectangular prism and a half-cylinder on top. The provided dimensions are:
- Length of the prism: 42 cm
- Width of the prism: 9 cm
- Height of the entire composite figure (both the prism and half-cylinder): 35 cm

**Steps to Solve:**
1. Calculate the volume of the rectangular prism.
2. Calculate the volume of the half-cylinder.
3. Add the volumes of the rectangular prism and the half-cylinder to get the total volume of the composite figure. 

Make sure to use the appropriate mathematical formulas and show all your work in the provided text box.

---

This exercise will help you understand how to decompose complex shapes into simpler ones to find their volumes. Use the given formulas and solve the problem step-by-step.
Transcribed Image Text:**Volume Calculation Problem** **Instructions:** Find the volume of the entire figure. Be sure to TYPE IN/ SHOW ALL THE WORK HERE!!! **Hints:** 1. Find the volume of the prism. 2. Find the volume of the half-cylinder. **Diagram Description:** The image represents a composite figure with a rectangular prism and a half-cylinder on top. The provided dimensions are: - Length of the prism: 42 cm - Width of the prism: 9 cm - Height of the entire composite figure (both the prism and half-cylinder): 35 cm **Steps to Solve:** 1. Calculate the volume of the rectangular prism. 2. Calculate the volume of the half-cylinder. 3. Add the volumes of the rectangular prism and the half-cylinder to get the total volume of the composite figure. Make sure to use the appropriate mathematical formulas and show all your work in the provided text box. --- This exercise will help you understand how to decompose complex shapes into simpler ones to find their volumes. Use the given formulas and solve the problem step-by-step.
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