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Surface Area of Solids
What is surface area? ,[object Object]
What is surface area? ,[object Object],[object Object]
What shapes combine to form a cube? ,[object Object],[object Object],[object Object],[object Object]
How do we find area of a square? ,[object Object],[object Object],[object Object],[object Object]
How many squares combine to form a cube? (Each one is called a “face.”) ,[object Object],[object Object],[object Object],[object Object]
What is the formula for the surface area of a cube? ,[object Object],[object Object],[object Object],[object Object]
Find the surface area of a cube, whose edge measures 5 cm. ,[object Object],[object Object]
What shapes combine to form a rectangular prism (box)?
What shapes combine to form a rectangular prism (box)? ,[object Object],[object Object],[object Object],[object Object]
What is the area of a rectangle? ,[object Object],[object Object],[object Object],[object Object]
How many rectangles form a rectangular prism? ,[object Object],[object Object]
Let’s look at a rectangular prism
Do you see the RED face? What are the dimensions of this rectangle? 10 in. 4 in.
Do you see another face that is just like the RED face? Where is it located? Keep an eye on the next screen!
Yes, it’s on the back. 10 in. 4 in. 10 in. 4 in.
Now there are 2 rectangles that each have an area of 40 sq. in. 40 in 2 40 in 2
Do you see the BLUE face? What are the dimensions of this rectangle? 4 in. 7 in.
Do you see another face that is just like the BLUE face? Where is it located?
Yes, it’s on the left side. 4 in. 7 in. 7 in. 4 in.
Now there are 2 rectangles that each have an area of 28 sq. in. 28 in 2 28 in 2
Do you see the GREEN face? What are the dimensions of this rectangle? 10 in. 7 in.
Do you see another face that is just like the GREEN face? Where is it located?
Yes, it’s on the bottom. 10 in. 7 in. 10 in. 7 in.
Now there are 2 rectangles that each have an area of 70 sq. in. 70 in 2 70 in 2
Now we just need to add all the areas of the sides together. + + + + 70 in 2 28 in 2 40 in 2 40 in 2 28 in 2 70 in 2
The total Surface Area for this rectangular prism is 40 + 40 + 28 + 28 + 70 + 70 = 276 in 2
Based on the previous example what is the formula for the surface area of a rectangular prism? ,[object Object],[object Object],[object Object],[object Object]
Use the formula to find the surface area of the rectangular prism with l = 6, w = 5 and b = 4. ,[object Object],[object Object]
What shapes combine to form a cylinder?
What shapes combine to form a cylinder?
What shapes combine to form a cylinder? ,[object Object],[object Object],[object Object],[object Object]
What formula can be used to find the surface area of a cylinder? ,[object Object],[object Object],[object Object],[object Object]
Find the surface area of a cylinder whose radius is 5 and whose height is 8. (to the nearest tenth) ,[object Object],[object Object]
Basically, surface area can be found by ,[object Object]

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Surface Area Of Solids Cps

  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. What shapes combine to form a rectangular prism (box)?
  • 10.
  • 11.
  • 12.
  • 13. Let’s look at a rectangular prism
  • 14. Do you see the RED face? What are the dimensions of this rectangle? 10 in. 4 in.
  • 15. Do you see another face that is just like the RED face? Where is it located? Keep an eye on the next screen!
  • 16. Yes, it’s on the back. 10 in. 4 in. 10 in. 4 in.
  • 17. Now there are 2 rectangles that each have an area of 40 sq. in. 40 in 2 40 in 2
  • 18. Do you see the BLUE face? What are the dimensions of this rectangle? 4 in. 7 in.
  • 19. Do you see another face that is just like the BLUE face? Where is it located?
  • 20. Yes, it’s on the left side. 4 in. 7 in. 7 in. 4 in.
  • 21. Now there are 2 rectangles that each have an area of 28 sq. in. 28 in 2 28 in 2
  • 22. Do you see the GREEN face? What are the dimensions of this rectangle? 10 in. 7 in.
  • 23. Do you see another face that is just like the GREEN face? Where is it located?
  • 24. Yes, it’s on the bottom. 10 in. 7 in. 10 in. 7 in.
  • 25. Now there are 2 rectangles that each have an area of 70 sq. in. 70 in 2 70 in 2
  • 26. Now we just need to add all the areas of the sides together. + + + + 70 in 2 28 in 2 40 in 2 40 in 2 28 in 2 70 in 2
  • 27. The total Surface Area for this rectangular prism is 40 + 40 + 28 + 28 + 70 + 70 = 276 in 2
  • 28.
  • 29.
  • 30. What shapes combine to form a cylinder?
  • 31. What shapes combine to form a cylinder?
  • 32.
  • 33.
  • 34.
  • 35.