lateral area, surface area, and notes. lateral area lateral area – these are the flat sides of...
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Lateral Area, Surface Area, and Notes
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
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
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
4
6
10
Lateral Area
4
6
10
Identify the two bases.
Find the perimeter of one base (add all the sides)
Multiply the perimeter by the height of prism
P = 4 + 4 + 6 + 6 = 20
20 (10) = 200
Lateral Area
10 cm
12cm
Perimeter of a 6 sided base is 6 x 10….p = 60
h = 12
60(12) = 720
Answer is 720cm2
Answers for area are always squared
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:1. Find P and h2. Find LA3. Find base area 4. Add 2 base areas and the LA to get SA5. Final answer will be in units 2
Surface Area
SA = LA + area of the 2 bases
Find P of base (4 + 4 + 10 + 10) = 28
h = 17
LA = Ph = (28)(17) = 476
Area of rectangle l x w
Area of base = 4 x 10 = 40
SA = Ph + 2B = 476 + 2(40) = 556
SA = 556 cm 2
Surface Area
SA = LA + area of the 2 basesThe base is a parallelogram!
P = 5 + 5 + 3 + 3 = 16
h = 2
LA = Ph = 16(2) = 32 = LA
A = l x w or b x h A = (3)(5) = 15
SA = 32 + 15 + 15 = 62m2
5m
3m
2m