Tuesday, March 2, 2010

Kathleen's Surface Area Growing Post

Rectangular Prism :


Net :

Formula:
  • l x w = a
  • # x # = a
  • #cm(2) = a
TSA
= S1 + S2 + S3
= # + # + #
= #cm(2)


Solution:




Triangular Prism:


Net:

Formula:
- Rectangles.
  • l x w = a
  • # x # = a
  • #cm(2) = a
- Triangles.
  • b x h / 2 = a
  • # x # / 2 = a
  • # / 2 = a
  • #cm(2) = a
TSA = S1 + S2 + S3 + S4 + S5
= # + # + # + # + # = #cm(2)


Solution:




Cylinder:




Net:


Formula: First, we need to find the circumference of the circle to get the length of the rectangle.
  • πd = C
  • 3.14 x # = C
  • # = C
Next, we have to find the area of the circle.
- If we were given the diameter of the circle, we have to find the radius.
  • d / 2 = r
  • # / 2 = r
  • # = r
- The area of the circle.
  • π x r x r = A
  • 3.14 x # x # = A
  • #cm (2) = A
Now, we must find the Lateral Area.
  • L x W = L.A
  • # x # = L.A
  • #cm = L.A
* The length is the circumference of the circle.


TSA = circle + circle + L.A = # + # + # = #cm (2)



Solution:




Video:























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