Volume of a rectangular and triangular prism

Introduction

Hey,

This WebQuest  is created about volume of a rectangular and triangular prism. There is video which can help you understand this better through a visual example and on next page you can do task and after task look if you got it right. Between those pages you can see sample of how to do certain tasks. 

To do task which is on the next page you have to watch both videos below

https://www.youtube.com/watch?v=mHfC8sb1tbQ&index=2&list=PLDe-CvW870TEB…

https://www.youtube.com/watch?v=a8YLrKTer5M

Task

  1. What is the area formula (base) of a rectangular prism?
  2. Name all signages of the volume formula
  3. What changes if hight increases?
  4. what is the volume formula of a rectangular prism?
  5. Is it possible to use a rectangular formulas (area and volume) to calculate a triangular prism (area and volume) and how?
  6. Using a rectangular prism area formula, what is a triangular prism area formula?
  7. Does volume formula of a triangular prism changes if use rectangular volume formula?
  8. what is another formula for volume of a triangular prism?

Process

Steps how to calculate the volume of a triangular prism:

  1. Identify the base and height of one of the triangular bases (Let's say you have a triangle with a height of 3 cm and a base of 4 cm)
  2. Multiply them (So: 3 cm x 4 cm = 12 cm 2. Don't forget to state your answer in square units since you're working with area)

  3. Divide the result by two (divide 12 cm2 by 2 and you get 6 cm2 (12/2 =6cm2))

  4. Multiply this number by the height of the shape (Let's say the height of the triangular prism is 10 cm. So multiply 6 cm2 x 10 cm to find the volume of the triangular prism. 6 ·10= 60 cm3.) ( Don't forget to state your answer in cubic units since you're working with volume!)

(You have just followed the simple formula for finding the volume of a triangular prism: 1/2 · bh · l)

 

Steps how to calculate the volume of a rectangular prism:

  1. Find the length and width of the rectangular prism (Let's say you have a rectangle with a length of 5cm and width of 4cm)
  2. Find the height of the rectangular prism (for example - height is 6cm)
  3. Multiply the length, the width, and the height (V=l·w·h, so V=5·4·6=120cm3) ( Don't forget to state your answer in cubic units since you're working with volume!)

Evaluation

  1. A=l·w
  2. A=area, l=length, w=width, h=hight
  3. volume
  4. V=l·w·h
  5. it is possible if you diagonally dividing rectangular prism dow the center and every formula divide by 2
  6. A=l·w/2
  7. Yes, formula - V=l·w·h/2
  8. V=b·h·H/2

if you got more than 6 answer right, then you understand this theme well. Congratulations! :)

Conclusion

 How you already know this WebQuest was about volume of a rectangular and triangular prism. There was 2 videos, task with answers and step by step how to do tasks. If you didn't understand this theme that well thats okay maybe later you will understand. But listen to this song, that can help you memorize more maybe. Good luck :)

https://www.youtube.com/watch?v=GEwheYZX1-s

 

Credits