1. Surface
Area

2. Surface Area
Surface area is found by finding the area of all the sides and then adding those answers up.
How will the answer be labeled?
Units2 because it is area!

3. Rectangular Prism B C A 5 in 6 4 How many faces are on here? 6
Find the area of each of the faces.
Do any of the faces have the same area?
A = 5 x 4 = 20 x 2 =40
If so, which ones?
B = 6 x 4= 24 x 2 = 48
C = 5x 6 = 30 x 2 = 60
Opposite faces are the same.
148 in2
Find the SA

4. Cube Are all the faces the same? YES A How many faces are there? 4m 6
Find the Surface area of one of the faces.
4 x 4 = 16
Take that times the number of faces.
X 6
96 m2
SA for a cube.

5. Triangular Prism x 2= 12 How many faces are there? 4 5 5
How many of each shape does it take to make this prism?
10 m 3
2 triangles and 3 rectangles = SA of a triangular prism
Find the surface area. Start by finding the area of the triangle.
x 2= 12
4 x 3/2 = 6
How many triangles were there?
5 x 10 = 50 = front
4 x 10 = 40 = back
3 x 10 = 30 = bottom 2
Find the area of the 3 rectangles.
SA = m2
What is the final SA?

6. Lateral area vs Area of the bases
Lateral area is the area around a solid.
Area of the bases are on the top and bottom.

7. Pyramids
The top of a pyramid is called the apex

8. Pyramids Classification Square based
There are many types of Pyramids, and they are named after the shape of their base.

9. Pyramids
Triangular based pyramids
Pentagonal based pyramids

10. Area formula

11. Example
9cm
8cm
2cm
7cm

12. Cylinders SA = Areas bases + Lateral area
SA = 2(Area base) + (perimeter of top)* height
SA = 2(∏ R 2) + (2 ∏R)* h

13. Example
15 cm
3 cm

14. Cones
SA= Area base + Lateral area
SA = πr2 + π r l
Slant height

15. Example
6cm
4cm
2cm

16. Working backwards ?
3cm
10cm

17. Work SA= 2(rectangle 1)+ 2( rectangle 2) +2( rectangle 3)
Plug in what you know:
500= 2( 10Xh) +2( 3xh) +2(3x10)
500=20h +6h +60
500=26h+60
500-60=26h
440=26h
16.92=h