Assignment 3.1 (SA and LA)

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Danuta Laura Sowa
6 lat temu
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1 AW 11 Name u J2T0v1V9g XKru_ttaF NS^oQfOtXwUagr\eu GLHLOC^.F C XAqldlO FrEiIg\hXtHsO xrcewsqeprtvheed`. Assignment 3.1 (SA and LA) Find the area of each. 1) 11 m 2) 6.5 m 5 km 2.9 km 3) 4) 4.3 ft 6.2 km 5.8 ft 11 km 5) 10 cm 6) 4 cm cm 6.5 7) 8) b g2v0m1f9w zkoumtzav ks[ojfotqwmaeroef xlslkc`.f _ PAVl]lt xriibghhxtnsg QrDeMsPe[rXvSeSd\.E h `MhaldXeU [wkiatvhz ri]ngfcibnaictsej vgwesotmsehtcriy^. -1-

2 Name each figure. 9) 10) 11) 12) 13) 14) Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary. 15) 16) 2 mi 7 km 10 mi 10 mi 8 km 2 mi 17) 8 yd 18) 6 m 10 yd 10 m 3 m 5.5 yd V V2i0u1G9Q kkuu`tgam DS`oPfhtqwiaArZeU ZLyLKCk.L J HAalglN jr]i\gyhtt]s] jrxeiskeyrkvgexda._ g tmxahdpew xwkiltkhx viknefjihnxihtse_ HGue[oimjeRtOryyx. -2-

3 19) 8 yd 7 yd 20) 12.6 mi 2.6 yd 3 yd 4 yd 21) 22.4 km 22) 20 km 11.7 yd 7 yd 6.1 yd 23) 24) 8 cm 3.2 km Find the lateral area of each figure. Round your answers to the nearest hundredth, if necessary. 25) 26) 5 mi 6 mi 11 mi 6.9 mi ^ e2r0u1t9] XKEuAtGaR VSio_fKtywWa[ryeY CLxLyCs.a U JAwlxld Wr\iwgShUtesx krceaspeirkvie`df.w G KMwaAddeX KwxiFtQhA YImnofgiPnGidtsem wgbegommjedtvr\y]. -3-

4 27) 6 m 7 m 28) 7.6 cm 10 m 3 cm 29) 9. 30) 10.6 ft 10 ft 6.9 ft Working Backwards 31) A rectangle has an area of 94m 2. Its length is 8m. Determine its width. 32) A triangle has an area of 63m 2. Its base length is 9m. Determine its height. 33) A circle has an area of 70m 2. Determine its radius. 34) A rectangular prism has a surface area of 236m 2. Its length is 5m and its width is 6m. Determine its height. (SA=2lw+2lh+2wh) 35) A sphere has a surface area of 400m 2. Determine its radius. 36) A cone has a lateral area of 230m 2. Its slant height is 16m. Determine its diameter. (LA=prs) t w2i0q1o9v ykuu]thap jslobfjt\wgamrtem ulllvcg.b B yaplrlu mrfijgrhat]sz ^rhelsbenrmvze\dw.a S ]MTaDd`en Jwcietlhg pignafzipngiptvee KGweqoymPeutyriyc. -4-

5 37) Jimmy has a summer job painting garbage cans for the city. He does not need to paint the bottom of the cans. Each can has a diameter of 24" and a height of 42". a. determine the lateral area of one can in sq ft. b. Each can needs 2 coats of paint. Jimmy needs to paint 60 garbage cans in one week. Determine the total area that he needs to paint. c. A can of paint can cover 600 sq ft. How many cans of paint does he need? d. Each can costs $ Determine the cost of all the paint. 38) Timmy needs to buy cardboard boxes for his online business. The boxes need to be 20cm x 24cm x 12cm. a. determine the surface area of one box in cm 2 b. he is going to order 500 boxes. Determine the total surface area of the 500 boxes in m 2. c. If you buy 500 boxes, the cost of the cardboard is $0.35 per square metre. Determine the cost for his 500 boxes. h c2j0y1m9a KKNuFttae fspoifztiwnanroem BLrLYCI.F ^ famlslp Dr`iXglhAtqsI brieqswexruvneudq.^ d rmtazdsep ^wrimtuhr girnmfjiqnwiztked ZGDezoUmPeEtorSyA. -5-

6 Conversions 39) A triangle has a base of 7 feet and a height of 4 feet. Determine the area in square metres. 40) A square based pyramid has a base length of 74cm and a slant height of 136cm. Determine the surface area in square metres. 41) A cone has a diameter of 80 inches and a slant height of 74 inches. Determine the lateral area in square metres. 42) A sphere has a surface area of 250 square yards. Determine its diameter in metres. R l2k0m1h9x hkvuittar dsyoffvttwdarroey WLVLWCH.K U qawlslr orwiyghhktbsc mrjedsdekrmvlebdj.s S MMCaadbee _wjidtbhr BIenEfAiSnjiXtfeo bgresoqmle]tjrwyg. -6-

7 Answers to Assignment 3.1 (SA and LA) 1) 71.5 m² 2) 7.25 km² 3) ft² 4) 68.2 km² 5) 26 cm² 6) ) ) ) pentagonal pyramid 10) square pyramid 11) rectangular prism 12) triangular prism 13) hexagonal prism 14) triangular pyramid 15) km² 16) 232 mi² 17) 620 yd² 18) 120 m² 19) yd² 20) mi² 21) km² 22) yd² 23) cm² 24) km² 25) 240 mi² 26) mi² 27) 16² 28) cm² 29) 156.² 30) 265 ft² 31) 11.75m 32) 14m 33) 4.7m 34) 8m 35) 5.6m 36) 9.2m 37) a. 22 sq ft b sq ft c. 5 cans d ) a. 2016cm 2 b m 2 c. $ ) 5.999m 2 42) 7.459m 39) m 2 40) m 2 T I2t0_1a9x GKxuPtWak ds]ozfwt[wcasrsep jlalmcl.^ m CAtlxlA ]roi_g\hetism Br^eKsQeWrFvde^dO.L C jm`a]dmek TwXirtwhS MIFndfeiTnnixtfeb TGhemoTmoeVtirFyJ. -7-

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