Hello everyone! I'm sorry I couldn't go on for a few days, my Internet wasn't working properly. Finally it's working. So now I can do the posts Mr. Backe assigned us. And I can finally comment too. So anyways I am going to tell you the Most Elegant ways to find Rectangular Prisms, Triangular Prisms, the Cube, the Cylinder, and any Square Based Prism.
The Rectangular Prism:
SA=248 square units
The Triangular Prisms:
First you find the area of a triangle.
A=8 square units
And then the base.
A=40 square units
And finally the roofs.
You have to find the hypotenuse by using the Pythagorean Theorem.
a squared + b squared = c squared
4 squared + 4 squared = c squared
16 + 16 = c squared
32 (square rooted) = c squared (square rooted)
5.656 = c
A=113.12 square units
Then you add all of the answers together.
113.12 + 40 + 8 = 161.12 square units
I know it looks complicated but this is as elegant it's gonna get.
SA= 6s squared
SA= 6(3) squared
SA= 54 units square
SA=2 pi r squared + 2 pi r h
SA=2(3.14)(3)squared + 2 (3.14)(3)(8)
SA=2(3.14)(9) + 2(3.14)(24)
SA=(3.14)18+ (3.14) 48
Any Square Based Prism:
You could use this if you have any Prism with a square. You could use it as a base. If you had a rectangular prism with a square on the sides than you use this formula.
Thank you for reading! Please leave a comment and tell me how I did!