1. Lateral Area, Surface Area, and Notes

2. Lateral Area
Lateral area – these are the flat sides of prisms, cones, and cylinders
lateral face
There are 4 lateral faces on this shape
and 2 bases

3. Definitions
Lateral area – for prisms, cylinders and cones – the area of the figure not including the bases
Surface Area – the sum of the area of all of the faces (sides and both bases)
Volume – a measure of the amount of space contained in the interior of a solid

4. Prisms To find Lateral Area: perimeter times height of prism LA = Ph
P is the perimeter
of the base
h is the height of the prism 6 10 4

5. Lateral Area Identify the two bases.
Find the perimeter of one base (add all the sides)
Multiply the perimeter by the height of prism 6 4 10
P = = 20
20 (10) = 200

6. Lateral Area Perimeter of a 6 sided base is 6 x 10….p = 60 10 cm
h = 12
60(12) = 720
Answer is 720cm2
10 cm
12cm
Answers for area are always squared

7. Surface Area SA = LA + area of the 2 bases
You need to know how to find perimeter of any polygon! (Just add all the sides)
Steps:
Find P and h
Find LA
Find base area
Add 2 base areas and the LA to get SA
Final answer will be in units 2

8. Surface Area SA = LA + area of the 2 bases
Find P of base ( ) = 28
h = 17
LA = Ph = (28)(17) = 476
Area of rectangle  l x w
Area of base = 4 x 10 = 40
SA = Ph + 2B = (40) = 556
SA = 556 cm 2

9. Find the Area and Perimeter
Side equals 7 in.
Side measures 3.5 cm

10. Find the Area and Perimeter
4 ft.
24 ft.
The base of triangle measures 12 ft.
Sides measure 10 ft.
Height measures 8 ft.