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Name
Surface Area Vocabulary
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Shade the
ffi
dor
f
f:
tl f'}"-}
) " a ;-*nE
S= Ph
5""
i}:" lrh+ rr.1
*s
S=Ph+?t3
ln*-?e,
|Jlr-J*
t
n
f\
I
C*: {i ,'q* - ,"'
P., J-."
f ri5 rrr
-:; _:: . -:' .r- ..-.- I
':":"
.!-:i.- .:.:
,.
t
lrtrrrrq'"*{o"r
p,e,rtd-'r-.l ,it{r."
F t",
I
S=?tYrh*?lir-'
on each figure.
Highliqht the perimeter or circumference of the base of each figure.
Label the height of each figure.
l\
d'nu
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Tho:
* n*s *Lt.:
g*
n
't'*
5
ft*
u
g
q.rr.*I do rr'r','
i*"rt: h*+ I--'q'"{rra {" bca'i":
Pu
What does the P stand for in the formula?
ft
What does the h stand for in the formula?
* dro.r { e' u-
l.*
rpfi,", i;
^:
*[ tltr b*t{,'-
heiqh+ ${ +h{ p{;i,'v.' *r
,-
What does the r stand for in the formula?
-?!!
ffi
*, * t*r,,ut t
$*
*-
['o*!
i** o[
*h*. ci'cie
( b''-' t)
& r'r s,q- # f i'**' '1;rr 4
*h*
@.qffieffi%x::erx..{"*
*e!e:6.M
*:*"qo**+;*-'q
Ilt{&r,,]*
*r'
Name
Notes: Surface Area of Rectangular Prisms, Triangular Prisms and Cylinders
3-P
A rectangular prism and its net are shown with the bases shaded'
'{,r:*
{ xa*
l;i
3
lt
in. Qx3_ ?.".,}
2in.
{:*
I
ln.
S-- tnr* e
tx?.'tg
Qx3= ?"J
9 in,
1. Write an expression inside each face o[t[e ngt that can be used to find the area of that
face. What is the lateral surface area of the prism? . I
EEFffi
A
A
=,
n fs[
A"
:':
[:'*
r
A* r{}r?
i
2.
S - ?-l
A't'3
}d
f{".
forct''*
L$'
A,,
?,1,o*
The formula to find the lateral tliksgi1gr of a nrisfn
expression to find the pe7lmetgl ol!h9 base IP
g" ffU.
!: 9-:1.,1. Write and solve an
p* ?+3+ **3
, * fu *;t*?i
l0
F:3e-i:f
3.
\t $ ?'i+ tT
-**:-****:"-lQ O r'ft'l$--. qi-::
lt=
+
base by the height of the Prism. How does the value
Iy th
compare to"JSIUS.l5;gflk
Your resPonse ln part 1.
Mu
lti
p
+@.&dr*.d$9@
I;,, ,;
*.r
e
t!
* i.,u', -{,,& r}'1{
4. The formula to find the total surface are
expression to find the area of the base
g= P v. I ? i*
S = ii ,(,r j +(z:(u)
i.t{- c\;1
l:?,'rr
I?
,
ofa prism in S=Ph + 28. Write and solve an
fu bl"
A'?'3
nl
i\ -
\p
tt
-,1
4{
s-{
I
i
I
L__l
Name
Notes: Surface Area of Rectangular Prisms, Triangular Prisms and Cylinders
r
5.
Using the formula, write and solve an expressions to find the otal sureface area of the
prism.
S,ffiir'' + e{#
$, t*Xq) + a( u)
S= qc + te
1,ffi
3*t>
Look at the trianqular orism and its net.
(-t
\r
w
-€
1. Write and solve an expression to find the lateral surface area of the prism.
-'*-'*L'w
k4{ffi,oE#w,.
$=
---J
P\'1
g'- (au;(3)
P* t?* t?"F { e
fits
$= t*q i r,"",'
2. Write and solve an expression to find the*total surface areaof th.epqsm.
]
+"L*
"**,/aJ
5= ph
s=
,T':"';r\#"*
'
\'
+tei(z;+)
i*r
ta#i
i-*-:f
t
"f-Jts3:t
n?.,--'
{:
}34 . fi i-i*oo
l*-*;w#M.*_J
A=
,)
&{,3rr
)h
/
r
\. la2,q
Name
Notes: Suface Area of Rectangular Prisms, Triangular Prisms and Cylinders
&nQu*€,{"^
*4 \n
tr-
}+ rrr':6 #S *trf'
A cylinder with a radius of r and height h is shown.
l^i
f,\
i
r
rn+
f
b=c-Ji
5cn-
ft,*
'i'Y'
-*
ti
I
o
5'*uax3'XsXt"j + C,ro
n
(" o
+ gD^}I-l
h
k'
"lr
=locrv:
tota
E=
z5z
i\fi
L
Fh
The formula for finding the lateral surface arejr of a cylinder is S = ZtU.h. Define each part of the
formula.
3u.
$
r,,
&r f
t { (*l*.YYlt
t rts ,...f
^ fi!-l
et
Df
tr
c,*
rr-.,i
{
f A{
i*." {ti r
i-=l
o.} r
r
The formula for finding the total surface area of a cylinder
of the formula as shown.
t^-il
S 5*r I nr g
2r.
r-,
z
i:aQe
5=Ph+?fi
is S =Zrrh*2rr2
l'\r e r-*
Lir c,-rrrrle,-er,,:q f,,{- *h,e C,,ltt- (t:r,'"., J
\.1+ i q\r f cl| -! L-t t, lt: r r.\,^ i'*
:
'
"L b*re s
trr2 &;-er' el{ {-hg
(-i
re[,e ir:rr,;eJ
" Explain each part