SURFACE AREA OF PYR:AMID5
Total Surface Area: The sum of the areas of all surfaces of a solid.
,
(bases and faces)
Lateral Surface Area: The sum of the areas of the faces only.
Example 1: Use the figure below and its net to fred the total surface
area.
/
/\
/E
j
............
J
..............
5m
\\E /
5m
'ea by
Counting
Squÿreÿ
Base A
Lateraÿ face B
Laterali face C
Lateral face D
Lateral face Iÿ
Total Surface Area =
Lateral Surface Area=
Areÿ IW,
Formulÿ
J
,i
Total Surf.ace Area =
E× 2,
Lateral Surface Area=
I0 cm
tOcm
Total Surface Area ='
Lateral Surface Area=
8
'l
Ex, ÿ, Be careful
need to.
on this one! Use the net if you
Total Surface Area =
.4 2°
Lateral Surface Area=
_h\\ . _
j
---
eÿn
",,,
ÿ
t
, let's try using the formuUÿa[
Total SA = 1pl+B
2
Lateral SA = 1PI
2
B = represents the area of the base
P = represents the perimeter of tlae base
l = represents the slant height (height of the triangles)
81ant height
Example 1:
it
Shape of the base:
Perimeter of the base =
Area of the base =
4 ft
Formula for SA,=
Total SA =
Formula for Lateral SA =
Lateral SA =
,t
E×
o
,, 15cm
Total Surface Area =
Lateral Surface Area=
9 cm
EX 3.
24 ft
/
Total Surface Area =
'1 ",\
i',,\
Lateral Surface Area=
f18ff
EXo
4ÿ
Total Surface Area =
Lateral Surface Area=