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Area of 2D Objects

TIP #1

The area of 2D Objects may sound easy, but they are easy to forget. Here are the formulas:

A=a^2 = Square

A=w*l = Rectangle

A=π*r^2 = Sphere

Volumes

TIP #2

Volumes are different from TSA and LSA. Volume is the space inside the object while Surface Area is the area around the object. These are the formulas:

V=a^3 = Cube

V=w*h*l = Rectangular Prism

V=π*r^2*h = Cylinder

V=l*w*h/3 = Pyramid

V=1/3*π*r^2*h = Cone

V=4/3*π*r^3 = Sphere

LSA and TSA

Make sure you know the difference between LSA and TSA. TSA is Total Surface Area while LSA is Lateral Surface Area. That means that it does not include the bases. (The bases are the ones on the bottom and top, except for Cubes and Triangular Prisms.)

TIP #3

Formulas for LSA

TIP #4

Here are the formulas for the easier side of surface areas. You should study them well, because they are pretty complicated:

LSA=(l*h)*2 = Rectangular Prism

LSA=(a+b+c)*h = Triangular Prism

LSA=2*π*r*h = Cylinder

Fourmulas for TSA

TIP #5

TSA Formulas get a little bit more complicated, but you can still easily memorize them. Here they are:

TSA=2(w*l+h*l+h*w) = Rectangular Prism

TSA=2*π*r*h+2*π*r^2 = Cylinder

LSA and TSA for Triangular Prisms

TIP #6

Triangular prisms don't have a set formula. The base of the Triangular Prism is the two triangles and the everything else isn't. Always keep that in mind.

Slopes

TIP #7

Slopes are very interesting. Remember to always go up by 1 and then to the right by 3 if it is a slope of 1/3. And whever you have to guess how much something that is off the scale try adding boxes or drawing a line to see where it would end up.

Functions

TIP #8

Always remember that functions only have one X go to one Y value. It wouldn't make sense for you to have two grades on one thing, but it make sense to have alot of people having the same grade. And for lines use the Verticle Line Test. If you draw a verticle line down anywhere on that line and it crosses over itself, it is not a function.

Pythagoreum Theorem

The Pythagoreum Theorem states that line a to the power of two plus line b to the power of two must equal c to the power of two.

TIP #9

Making Sure that a Triangle is a Right Triangle

TIP #10

Sometimes you may get a question on trying to find if the triangle is steated is a right triangle or not. This is how you tell; Lets say you have a triangle with side a equalling 2 and side b equalling 3 and side c equalling 4. 2^2+3^2 equalls 13 while 4^2 does not equal 13, so it is not a right triangle. It would be a right triangle if side c was 3.6.