Part II Day 4

State the daily objective: Students will be able to apply the surface of prisms, pyramids, cylinders, cones, and sphere.

Define: Now that you know the formula to find all of the surface areas for the following figures, you can now understand how to apply this to real life. One example would be shingling a roof. You would need to know the surface area so you could divide the shingle's area into it to figure out how many shingles or packs of shingles you need to buy. Furthermore, if you were painting any part of your house you would need the area so that you could calculate how many cans of paint you need based on how many square feet a can covers.

Shingles

QUIZ: 

1) How many shingles do you need to order if you want to spend as little money as possible? (Bottom of the pyramid not included).

Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases.

2)How many cans of paint do you need to buy in order to fully paint the dome shaped house? One can (gallon) of paint covers 400 square feet.

Surface = 4pr2S = 4pr2 dived in half because it is half a sphere

3) How many square feet of carpet do you need to order for your hexagonal floor?


Formula: 1/2 of the apothem x the perimeter








ANSWERS:
1) 6 x 6= 36 = bottom- not included
6 x 12= 72/2= 36
36 x 4= 144
144 sq. inches

2) 4 x 3.14 x 48 squared = 14469.12 sq. in.

3) 3/2= 1.5
1.5 x (5x6) = 45 sq. in.