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Name
------------------------------
Date
---------------------------
1111- Volume of Prisms and Cylinders
Find the volume of each rectangular prism. Round to the nearest 0.1 if necessary.
1)
d]
6cm
2)
3)
'.._ __ _1~2.5 em
c_________ D
15.75 yd
3.5 yd
1.5 yd
12 em
9.5 em
Scm
V ~ /.)X /5"_ 7f' X 3, 5
10.5 em
V;.: /(J.f'X I
V-== (gyt,f'x9.5
Ylt
~ /t11J3~
4)
-;.
gz,. 7 yufJ
:: lift, 5'"un.J
The base is a square, 4.5 em on a side. The height
is 5 em.
v~
X
5)
r:> xf';),K ~
/II. t>
The base is a rectangle with length 3.2 em and
width 4 em. The height is 10 em.
L/::. 7, Z;c '/ x- /O
:: /Z% (An.>
~ /~13Wrt 3
Find the volume of each triangular prism to the nearest tenth.
7)
19 em
V;;6JI
:: t/?111
-: -t~;r.x 7 x;g
: :.
zz~>
llfd1
3
V ~IJII
:: {bit.!/
: i
f!G
'X
19 )1.' ;5:3l' ~z,-
71 ? J.
1 ?#1 .3
8)
The base is a right triangle with a leg of 12 in. and
hypotenuse of 15 in. The height of the prism is 10
9)
m.
The base is a 30°-60°-90° triangle with a
hypotenuse of 10 m. The height of the prism is 15
m. Find the volume to the nearest tenth.
V= 131--1
v
:: t ph, 1-f
tO
: i "fl ""q
)C
/0
-:=
t31~
~ 1,bh !-)- l
- "'
'
)C
5 v:5'/Z )(:IS
~ '3Z~. Sm-3
Find the volume of each cylinder in terms of n: and to the nearest tenth.
8.5 m
10)
v~J51-1
11)
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\
\
I
1
_TI - - - - - - - - -
8.5 em
I
17m
::. rrrz ~
I
~-- - ---:-l- ---- -
~ tr )C~.,,-z~7
I
4.5 em
1
'
'
~ j7Z,/d' (.,#1 3
::: ~5'.S rr ms
12) a right cylinder with a radius of 3.2 em and a
height of 10.5 em
V~6fl
::: rrr~
:: rr~"z II
; ;: rr )( ~, ~ z, )(: 1tJ. f
-:: /t?7. '7d
13) a right cylinder with a diameter of 8 ft and a
height of 15 ft.
v-:. 611
H
U#f.J
::. rrr z. H
::: rr X 'f, sz X: tg. 5'
-=-
rr.x l/z ;cf~
: . .z 'ltJif
Find the volume of each composite figure to the nearest whole tenth.
-/! .:>
v~
14)
12cm
1
)---6 ---
fl
13
-1-
::. (~x8;c3) --1- (!tx$XIZ)
I
::
15)
Sin
''
172.1
:::. /S?Z ?Nt .5
18 em
,_
/Y~ ,1--
___ _
'
v;;
4in
=:
f'trk;v~
Frrrtn -
sir~,-
(!KJC/o>CS') ._ ( 3./f/>GJ,z,x!S)
10 in
18 in
z, Z, (,,tJ 8'
::: 1Vf70 -
:::- I Zl:? . tz 2 I Z-13.~/), ~
16)
v~ f{St.~r)
10ft
:::-
~
( 3./tl;>e 5
2
x lo)
~ ~ ( 785)
-
~SB. 7S Z
!?Sr.¥"..{'./- 3
Find the value of x to the nearest tenth.
17) Volume: 576 cm3
18) Volume: 980 mm3
f
14mm f"~
~;'~
v-:. ~I-I
\/-:. 61-1
~ -kbh H57b -: 'i. )'" '6' .)C 8 x; X'
v
576 ::
?Z~
}:{ ::;:. /fun_.
v~ tbk 1-1
rtO=-
-t . ~.y . zv
?!O:: 10??-z..
9!
:::~ z.
~ ~
~
9 ,m;n
19) Volume: 602.88 cm3
10)
What is the volume ofthe solid figure formed by the net?
4m
8m
10m
v ~ 61-1
~tox8'VY
:;:, 720 rn 3
4m