Unit 11 Lesson 4 Volume of Cylinders and Prisms
Unit 11 Lesson 4: Volume of Cylinders and Prisms
Lesson Overview
Volume of Cylinders and Prisms
What You Will Learn
- finding the volume of a prism and the volume of a cylinder
- finding the volume of cylinders and prisms when you are given some of their dimensions
Overview
In this lesson, you will learn to find the volume of a prism and the volume of a cylinder. You will show your learning by finding the volume of cylinders and prisms when you are given some of their dimensions.
Essential Understanding
You can find the volume of a prism or a cylinder when you know its height and the area of its base.
- Read pages 476-483 in your course textbook
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Lesson 4: Volume of Cylinders and Prisms
Resource Videos
Volume of Prisms
Volume of Cylinders
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied Volumes of Cylinders and Prisms. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
Activity 1
Use the following figure for questions 1-2.
- What is the volume of the rectangular prism?
- Suppose the prism is turned so that the base is 4ft by 5ft and the height is 3 ft. Does the volume change? Explain.
Activity 2
Use the following figure for questions 1-2.
- What is the volume of the triangular prism at the right?
- Suppose the height of a prism is doubled. How does this affect the volume of the prism? Explain.
Activity 3
Use the following figure for questions 1-2.
- What is the volume of the cylinder at the right in terms of π?
- Suppose the radius of a cylinder is halved. How does this affect the volume of the cylinder? Explain.
Activity 4
What is the approximate volume of the lunch box shown below? Round to the nearest cubic inch.
