Advanced Study Guide: Surface Area/Volume
Directions: You must show
ALL
work. Formula, work, ond answer must be included in order to receive
FULL credit.
Matching:
0 ,
roru
D ,
vertex
B. Line segment where two faces intersect.
Pyramid and Prism
C. Prisms and pyramids are named for the shape of these.
-Lr.
A-
L
A.
Has 2 congruent, parallel polygon-shaped bases
4. Prism
D. Point where several edges meet.
5.
E. Two types of polyhedrons.
Bases
*Be sure you know how many vertices, edges, and faces all prisms and pyramids have.*
6. The net of a square pyramid is shown below. What is the surface area of the square
pyramid?
1
A,)b\r)
fl=Av
I
A^= LZ I n=+ ,2")
A;H
l " 2
fi:3
t '
I
t
7. The net of a r*ctangul*r prism is shorl,n, What is l}:e surfa ce area of t}:e pris:x in squ::rt
inches {in"2}?
fr--t,"/
h =0lz
rb
ZY
Lt"+
Y2_
3L
+,t,
pttv
ft:L+,Lo
x29
-Z
)1L
L{t
tEn)
8.
The net of a rectan gular prism is sh own below. W hat is the surface area of the
rectangular prism?
}tr
i-----l
i
i:il
r---*'-
ii
A,W
:
--i
rA=tu"|
l, 'z'S I
3,5
i
*rL
-bD
A =lf,n/
1
I
I
I
I
*I_
tqB
I
I
+o
/t
n L\
*sD\:z ( lsgr+t)
9.
A triangular prism is shown below. What is the surface area of the triangular prism?
J\
:
tACt.-,/lr,n- I
i
:.::..::l-*.i....'..............,ffi]n=;,9,-\o,/"."\
si,
,
\,j
\-/\,//
F
I
-
(t-tr,n)
.
./
t:
11. A box in the shape of a cube has a side length of '* feet. How many cubic feet can fill
the box?
1l
v -Juuro
v: l{' l+- 'lL
3315 f+
V --' 3A c(
1
3
12. A new concrete pedestai for a monument has dim ensions of S ft, 9 ft, and 8 ft. What is
the volume of the pedestal?
V'Prr,r-l''f
/\ "7'?
-z
".1
\
(
f,/; 310++
7