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1 s /:r ' ~ t' COh!mIDl A COh.llImlll :B AIfUSWlfH'S.. 1. _-===- _, j I l I I, n ~ II II., A. pyramid B. rectangular solid C. cone D. cylinder Ib~, 1= 1t\1 Find the 5l1rF8ICe 81ma of t!he right prism or rright cylinder. RO!Jlrid it" Find the area of a lateral fface of the ll'eglljjrar lpyramid. Then.:::;. find the surface <llriea of the regtullarr!pyramid. ~o I!1ld the 2. --"="""'=-- _ the resu~t to two decimajllp=laj=c=e=s'============="=====:e=~===~~=~~ 4em...,-.;==="" I :\~ //~-!~ / :1., - 7 in. 6 em ':SUlts tjone decimal ~Io\ce. L - i~~ l~-y.) o p. 1 ( ~f>r ~h JloI.X5LJII +\ Copyright McDougal Littell Inc. All rights reserved.

2 .", ~. ;j, ':';, _.]#... (& iclhiaiptieri 12 CON1rINIL9IEID NAME Chapter Test A _ DATE FUll1IiDl th~ ttlhe Il"D~&'d 6 in IPll'i~m. 2ft~-~ft 12 ft ~o4j.. 5cm ~ IFffmj] tlhj wil)~ll.llm il)f itihl~ li"ugll"it C')flili'1ld fi'.!r{))lldll1id tihj@ 1r $IUI~il: tj. '\two d~dma~ p!aj<c:@$. '1 qii 15. ' m 7.2 in. H. 2~. ---=----->:'---'-.:-==- _ 22. _ '~------fill1ldl ji :.... :;~. ',:' the '\f1()!lulme o~ the P1flramia~EZI<c:1hi 1P'lfli"amid Ih<ll$ a l1'egl!.b~ar lpoi'jfgoli1l flor a bibl$te. lroil.hlid tihle II'! isilujlltt to two decima! ph«ljic@$. 17. ~8. / 2~. '~. J...! J Copyright McDougal Littell Inc. All riqhts reserved. /

3 1) I \ ) ') -\-5~~\J) '\ rnld'& - ~f\~) > Geometry Lt --". Q c "'-- ~~.;~~. J \ l ~< Penod: \D cl- Date: "-..P C~~2 ~ 44 ~~~ 4. Multiple Choice Find the surface area of 1. Multiple Choice The best mathematical the pyramid. name of the solid is 57.5 cm 2 CID 65 cm right prism. (C) 32.5 cm 2 CID 78 cm 2 \:> (:t) E e CID right rectangular prism. 90 cm 2 ad cube. right pentagonal prism. {\~-\-~ 5cm (E) right hexagonal prism. -::-P _~,~,51~C)+~S Multiple Choice Find the lateral area of the 5. Multiple Choice Find the surface area of right prism shown. the cone. Round to the nearest tenth. 105 m m 2 CID m hr n 2.:~ ; m,. cd) CID m 2 (E) 114 m 2 8m 5.\~ 452.4m 2 +-~S 2 \\y- ( \ ~x---') -rr, ~(\\).8\-J..~) 3. Multiple Choice Find the surface area of 6. Multiple Choice What is the volume of a the right cylinder. Round to the nearest prism with a rectangular base, with sides of 5 hundredth. c feet and 6 feet, and a height of 4 feet? in ft3 (S) 240 ft3 2\\y ('n+,) 15 in. CD 480 ft3 G in. 21\ ' u.. \'2. ( \S -\- L\ \2) 2 ' in. 2 LO \0 CID 252 in. 2 ~ 120 ft3 CID 180 ft3 5xloxL\ C ) in. 2

4 ) 7. Multiple Choice Find the volume of the 10. Multiple Choice Find the surface area of the right cylinder. Round the answer to the sphere. Round to the nearest tenth. nearest hundredth. ',- :t<=--4.2 ft (]I) 175.9in. 2 - <'P;) ft3 f' ~i. \\'(~h <I) in ft 3 ;:f; in. Q; ft 3 ~:;t '. CO) in ft 3 CE) in. 2 C ) ft 3 D '-'L L\~< 8. Multiple Choice Find the volume of the u.\\.~~ cone. Round to the nearest tenth in. 3 ~=-"\\\ L.-~ 11. Multiple Choice Find the volume of the.::i ~ sphere. Round to the nearest in. 3 2:l ~\ -.l. ~'\\. LD L.. 44,602.2 m in in m 3 "3 y m CD in. 3 12in.~~c- 3 ~\\ \\ m 3 3 (E) m 3 9. Multip/.e Choice Find the volume of the Bonus: Multiple Choice Find the value of x if the pyramid. Round to the nearest tenth. 3 volume of the prism is 105 em cm 3 3-~~ 4-) 2em f\ ca~ em3 ad 47.1 cm 3 G~~ 100em J.. 3 3,)5'. g CC) 4 em Z 3em (]I) 5 em CD 37.5 em (E) 6 em 5cm \. \\)5 "'" L ' \D 'I ' >< \1)5 = 3S X x-=-3 10 em

5 Chapter 12 Volume and Surface Area Examples: 1) A right triangular prism has edges 6 inches long, and height 10 inches. Find the surf~e area and volume. V ~ "'Bh SF\- - \.-.? +d'"b \ \ '!Q -\OCI\ ~d.(te \~) = (-sn.\i) \0 \~() ~ \~ f3 ~O r3 ;;( \ \. \ ~ in'" \5s.. ~g '\\'3 2) A right square pyramid has edges' inches long, and height ti inches. Find the surface area and volume. I~ ~ ~ h SPt -::: i\ ~ \j==- ~ u ) =- t. ( \~U{i') :: 3(\~4){ 8 ==- dl-\c) ',,,L.. ::. ~& 4 "'r\ 3 'l,... 3) A can ~f soup has a radius 3 inches, and height 10 inches. What is the capacity of the soup can? What size label do you need to create to cover the surface (in square inches)? \j~\t '1. Lh-= ~\1 \' 'h ~.ql\d = ~-n (3\( \t)j ~" c\01t :::. loo IT". s -::.- ~ ~ ~.I '-\ \'f"\ - \~g.50\(\ 4) I need to wrap my son's birthday present. It's in a box 15 inches by 12 inches by 14 inches. How much wrapping paper do I need, if I have NO extra paper left over? What is the capacity. of the box\/t \ (\( \ S~ :: ~(\5 "')(\"t.) + ~ (r~ ~\4) + ~ \SJ lue) V :;= \ wh ~ ~D ~ ~ ~;;J. 0 :: \S X \L- x 14 :::: \ \ l Lo \n '2- --=- ~5~"D. " "3 How much ice cream fits in a cone that has a radius of 5 inches and height 12 inches? What is the size of the wrapper covering the cone (in square inches)? V=:{ \\'("4 ~ LF1 -:.. \'\\.l. \( ~ =: 1i ' S ' 13 3, 3 ~ \;5"'IT". l :::... \C>C \T -= 3\Y" \ \,p \ r\ = ~o '-l.dd \f\ 6) What is the volume of the sphere with a diameter of4-inches? Surface area? What is the volume and surface area of HALF of the sphere - be careful! SP) c::: ~,,( '2- + :J..'l'i' SPi -:::.- ~ W., 7- V::;. $-1\'("3 8\\ + L\n.::. L1 "Lf a ) ~ \"1- \T -=. \ld1f,do 3i. JJe- II,(P if) = I n~ ::: 0 ~1 \<:\ -t:;.3 \ LA I l

6 #1 A company makes two similar cylindrical containers. The total surface area of the smaller container is 0.81 times that of the larger container. The height of the larger container is 60 centimeters. What is the height of the smaller container? B 48.6 cm C 24.3 an S, ~ ){ 9 : :::.. D 21 cm Ir #2 A cylinder has a volume of 300rr cubic centimeters and a base with a drcumfer. ence of 10rr centimeters. What is the height of the cylinder?.j.. D -;) y1 '(" -=- \ ~ \Jo-rry"-h.-~s 0 ~ ~ 3001T ::..;}S"tl\. D 3cm Two cylinders, a sphere, and a cone are shown. Select the two objects with the same volume. C\\\ \\'( 7 \_ i 9 4cm ~ f lcm i--4an---i TJL =u :, 2cm. I. 1' --- i cm--ol

7 #4 The ratio of the volume of two spheres Is 8:27. What Is the ratio of the lengths of the radii of these two spheres? #5 If the height of a rectangular prism is decreased by! / v then which statement Is true? 3 0 volume would decrease by i ; B The volume would decrease by l. '6 c The volume would decrease by l. 9 D The volume would decrease by..! r