Math 8

Unit 4 Measuring Prisms and Cylinders

Lesson 846 Volume of a Right Triangular Prism

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 202

Read/Work through the  Focus  section at the top of page 202 in  your textbook.

Watch

Video Tutorial

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Page 202

Read/Work through the  Investigate  section on Page 202 in your textbook.

You can find the nets for the Investigate HERE
Not labelled, but they were created with the same dimensions as in the textbook.
(however...!  the PDF might not be at the right scale....)

You may not have a partner to work with.  
No worries!  
You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Watch

Video Tutorial

Connect

Connect summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 203

Read/Work through the  Connect  section on Page 203 in your textbook.

The Connect page is reinforcing what we already saw in the previous lesson,  to find the volume of ANY right prism, take the area of the base, then multiply by the height.

In the case of a triangular prism,   find the area of the triangular base  (area of triangle = (1/2)b h)  then multiply by the length of the prism.

The text will use the length of the prism instead of the height of the prism,  so we don’t confuse height of the prism with the height of the triangle.

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1

TEXT Page 204

Work through Example 1 on Page 204 in your textbook.

Watch

Video Tutorial

Example 2

TEXT Page 204

Work through Example 2 on Page 204 in your textbook.

Watch

Video Tutorial

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Discuss the Ideas invites you to talk about the math.
If possible share your thoughts/ideas/answers with another person.
If you can help them understand, then you likely have good understanding yourself.

Check questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Take It Further questions offer enrichment and extension.

Notes

Question 16,    Part a is okay, but I don’t understand part b.   
If the bar has the same shape as the smaller bar, you need to increase ALL the dimensions in proportion.  
Changing just one or two dimensions of the box would mean the bar is NOT the same shape.   
To keep the larger bar in the same SHAPE as the smaller bar, you would need to increase each dimension by a factor of (4^(1/3)), in other words, each dimension would have to be about 1.59 times bigger.  
But maybe I am missing something here....

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16", "Question 17", , , }})