Day 4:
Daily Objective : Students will know how to find the surface area of a prism, pyramid, cylinder, cone, and sphere; they will know the real life meaning to finding the surface area of these figures.
Surface area is the area that is only the shape of the surface; nothing inside of the figure.
Surface area is used for many different things. You can use surface area to be able to build a house or paint a house.
Formulas:
Prism - Area of bases + Area of sides
Pyramid - b x h /2 if its a polygon pyramid - b x h/2 + 1/2 a x perimeter
Cylinder -2(pi x radius squared) + 2 (pi x d x h)
Cone - pi x radius squared + pi x r x L (slant height)
Sphere - 4 x pi x radius squared , the area of four circles
Videos to explain each :
Prism - http://www.youtube.com/watch?v=Pcjnz26pnwY
Pyramid - http://www.youtube.com/watch?v=MV9tue_6q0c
Cylinder - http://www.youtube.com/watch?v=gi7aaZ87EoQ
Cone - http://www.youtube.com/watch?v=UyesG4M7jBo
Sphere - http://www.youtube.com/watch?v=FmngB6YnqP4
Surface area is used for many different things. You can use surface area to be able to build a house or paint a house.
Formulas:
Prism - Area of bases + Area of sides
Pyramid - b x h /2 if its a polygon pyramid - b x h/2 + 1/2 a x perimeter
Cylinder -2(pi x radius squared) + 2 (pi x d x h)
Cone - pi x radius squared + pi x r x L (slant height)
Sphere - 4 x pi x radius squared , the area of four circles
Videos to explain each :
Prism - http://www.youtube.com/watch?v=Pcjnz26pnwY
Pyramid - http://www.youtube.com/watch?v=MV9tue_6q0c
Cylinder - http://www.youtube.com/watch?v=gi7aaZ87EoQ
Cone - http://www.youtube.com/watch?v=UyesG4M7jBo
Sphere - http://www.youtube.com/watch?v=FmngB6YnqP4
Quiz 4:
Quiz 4 : Answers :
Question 1. Find the area of the circle clock tower face if the circumference is 24pi units.
1.) 12 squared times pi
2.) 12 x 12 = 144
3.) 144 x pi ( 3. 14) = 452.38
Answer: 452.38 ft squared
Question 2. Find the surface area of the house ignore the floor
1.) 10 + 18 / 2 x 8 = 164
2.) 82 x 2 = 164
3.) 32 x 2
4.) 10 x 8 = 80
5.) 80 x 2 = 160
6.) 18 x 10 =180
7.) 180 x 2 = 360
8.) 164 + 64 + 160 + 360 = 748 all the surfaces added together
Answer : 748 ft. squared
Question 3. Find a surface area of a igloo with a 20ft diameter
1.) Find the radius, which is 10 x 10 = 100
2.)
2.)
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