Unit 6 - Surface Area and Volume for Rectangular Prisms

Unit 6 - Surface Area and Volume for Rectangular Prisms

Summary of Knowledge

The goal of this investigation was to discover and create formulas to find boluma and surface area of a rectangular prism using logic. Students should understand how to find a rectangular prism's characteristics and main formulas to apply them in any situation, even in real life.

Key Vocabulary

• Cube - a 3 dimensional shape with 6 identical square faces.
• Base - the face of a 3 dimensional shape chosen to be the bottom face.
• Surface Area - the area required to cover a 3 dimensional shape.
• Rectangular Prisms - a prism with a top and a bottom (base) that are congruent rectangles.

Task Analysis

Volume

1. Find the length, with, and height (dimensions)                                             
2. Multiply them all. (l * w * h)

Surface Area

1. Find the dimensions.
2. Add length * width + length * height + width * height. ((((((You do this to find the 3 distinct faces' area and then add them all))))))
3. Multiply it by 2. ((((Because you only have one half of the rectangle)))))

Formula: 2 * ( l * w + l * h + h * w)


Examples

1. Clue - one face of the cube has 25 cm²                                                        

a.) What is the surface area of the cube?
b.) What is the volume of the cube?

2.

  

Surface Area = 2* (4*18+18*6+4*6) = 6528


Volume = 4*18*6 = 432

Practice Quiz

1

Unit 6 - Surface Area and Volume for Rectangular Prisms » funny quizzes

HELPFUL WEB RESOURCES:

• http://www.ehow.com/how_2040920_calculate-volume-rectangular-prism.html

Here you will find different tips and some strategies that may help you to understand this process better.

• http://www.aaamath.com/geo79_x9.htm

In this web page you can find a practice mini quiz and a kind of interactive game as well as a formula written in a different way to help you study.




 VIDEO:

For more videos go into google videos and type rectangular prisms volume and area.



This video will help you understand this better. It is an example really simple that may help you.. Enjoy it!!!