Part ll Day 3

Daily objective- Surface area of a prism, pyramid, cylinder, cone and sphere.
Objective definition- Students will be able to find the surface area of given shapes and know the formulas to do so.

FORMULAS FOR SURFACE AREA

	Prisms Volume = Base X Height v=bh Surface = 2b + Ph (b is the area of the base P is the perimeter of the base)

	Pyramid V = 1/3 bh b is the area of the base 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.

	Cylinder Volume = pr2 x height V = pr2 h Surface = 2p radius x height S = 2prh + 2pr2

	ConesVolume = 1/3 pr2 x height V= 1/3 pr2h Surface = pr2 + prs S = pr2 + prs =pr2 + pr

       

Sphere

Volume = 4/3 pr³

V = 4/3 pr³

Surface = 4pr²

S = 4pr²

Got these pics at http://math.about.com/library/blmeasurement.htm, check it out!

 NOW THAT WE KNOW THE FORMULAS, LETS PRACTICE!

QUIZ

1.)If we have a cylinder with a height of 6, and a radius of 2. What is the surface area of that cylinder?

2.)If we have another cylinder with a height of 12 and a radius of 4. What is the surface area of that cylinder?

3.)What is the forula to find the surface area of a cone?

ANSWER KEY

1.) Now that we have out numbers we can just plug them into our given equation.

To find the area of the top and bottom we will do 3.14rsquared. The answer will be (after multiplying 12.566 by 2 because there is top and bottom) 25.132

Now we find the sides.. The equation 2*3.14 * r * h, so after we plug in our numbers to the equation ( 2*3.14*2*6) the answer for the 2nd part will be 75.398. 

And finally we will just add the first and 2nd part together to get a total surface area of 87.964squre units.

2.) This is the same process just with different numbers. We start by putting our top and bottom circle numbers into there position in the equation 3.14rsquared. Once we complete 3.14x4sqared we multiply 50.265 by 2 because there is a top and a bottom, the answer for that step is 100.530. Next we go on the sides using the formula 2*3.14 * r * h..now we just plug in the numbers 2*3.14 * 4 *12. We get 301.592, and the final step is adding step one and step two together to get the final surface area. 301.528+100.530 and we get the ANSWER 402.122square units.

3.)  pr² + prs is the formula to find the surface area of a cone.

FOR MORE INFORMATION CHECK OUT THIS VIDEO!