Hello, this assignment is a growing post about the surface area of basic 3-D objects. First there is a rectangular prism with a net that contains a problem that I will solve using formulas. Then a triangular prism problem, then a cylinder, after that is two videos showing how I solved it. Before that though, I have to show and solve the three basic 3-D objects below.


This is a rectangular prism with its net (sorry the pictures are bad). A rectangular prism has two squares and four rectangles (or 6 rectangles). Now onto the problem part.
Here's the problem. I need one formula for each side of the prism. However I will do one of each type of side since I am not doing the same side again with the same calculations (makes my life easier and this post shorter). For rectangles and squares, the formula is length (L = length in short) multiplied by width (W = width). Then I am going to put the measurements in for the rectangle (any way does not matter). You can use a calculator if you want for this question (I used one too). In this problem, there are only two shapes with different measurements.


This is a rectangular prism with its net (sorry the pictures are bad). A rectangular prism has two squares and four rectangles (or 6 rectangles). Now onto the problem part.
Here's the problem. I need one formula for each side of the prism. However I will do one of each type of side since I am not doing the same side again with the same calculations (makes my life easier and this post shorter). For rectangles and squares, the formula is length (L = length in short) multiplied by width (W = width). Then I am going to put the measurements in for the rectangle (any way does not matter). You can use a calculator if you want for this question (I used one too). In this problem, there are only two shapes with different measurements.10.2 by 7.4 Rectangles
Rectangle = L x W
Rectangle = 10.2 x 7.4
Rectangle = 75.48m squared
4.7 by 7.4 Rectangles
Rectangle = L x W
Rectangle = 4.7 x 7.4
Rectangle = 34.78m squared
Now after finding all of the areas of the rectangular prism, I will add all of the areas up to get the total surface area of the rectangular prism (what I am trying to find) to finish the problem. There are four 10.2 by 7.4 rectangles and two 4.7 by 7.4 rectangles.
75.48 + 75.48 + 75.48 + 75.48 + 34.78 + 34.78 = 371.48
TSA (Total Surface Area) = 371.48m squared
The next 3-D object is an triangular prism. It has two triangles and three rectangles.

We then found the next biggest perfect square. It was twenty five. It has a square root of five.
The answer was sixteen. That would mean that seventeen has a square root that is close to 4. Since seventeen is one away from sixteen and we have lots of evidence, a good estimate should be four and one tenths. The square root of seventeen is really just about four and one hundred twenty three thousandths. That would mean we made a good estimate of the square root of seventeen.
Thank you for reading my scribepost for today. We also have to do pages twenty four and twenty five in our homework book for homework tonight or... since I posted this in the early morning, today before math class.