Unit 11 Lesson 5 Volume of Pyramids and Cones
Unit 11 Lesson 5: Volume of Pyramids and Cones
Lesson Overview
Pyramids
What You Will Learn
- finding the volumes of pyramids and cones
- finding the volume of pyramids and cones when you are given their dimensions
Overview
In this lesson, you will learn to find the volumes of pyramids and cones. When given its dimensions, you will show your learning by finding the volume of pyramids and cones.
Essential Understanding
The volume of a pyramid is related to the volume of a prism with the same base and height. The volume of a cone is related to the volume of a cylinder with the same base and height.
- Read pages 444-450 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 5: Volume of Pyramids and Cones
Resource Videos
Volumes of Pyramids
Volume of Cones
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied the Volumes of Pyramids and Cones. 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.
A sports arena shaped like a pyramid has a base area of about 300,000 ft2 and a height of 321 ft. What is the approximate volume of the arena?
What is the volume of a square pyramid with base edges of 24 m and a slant height of 13 m?
For questions 1-2, refer to problem three on page 446 of your online textbook.
- The height and radius of a child's tepee are half those of the tepee in Problem 3. What is the child's tepee volume to the nearest cubic foot?
- What is the relationship between the volume of the original tepee and the child's tepee?
- What is the volume of the oblique cone at the right in terms of π and rounded to the nearest cubic meter?
- How does the volume of an oblique cone compare to the volume of a right cone with the same diameter and height? Explain.
