Chpter88 Mesurement Contents: A Length B Perimeter C Are D The re of rectngle E Volume F Cpcity G Mss
164 MEASUREMENT (Chpter 8) Opening prolem Byron is out to ply gme of soccer on pitch like the one longside. You proly hve pitch like this t your school. Things to think out: How long do you think soccer pitch is? How wide do you think soccer pitch is? c How could you clculte the totl distnce round the oundry of the pitch? d How could you clculte the re covered y the pitch? In our everydy life we mesure mny things. Mesurement gives us numer vlue for the size of quntity. There re severl common types of quntities we mesure: Mesurement Distnce or length Mss or weight Time Temperture Are Volume Speed Exmple How fr we hve trvelled. How hevy we re. How long tennis mtch will lst. How hot it is going to e tomorrow. The size of the lock of lnd I wnt to uy. How much concrete I need for the drivewy. How fst I need to trvel to get home in 2 hours. The different types of quntities require different instruments to mesure them. Activity 1 Mesures nd mesuring instruments Wht to do: Wht do these instruments mesure? Mtch the instrument to its nme. c
MEASUREMENT (Chpter 8) 165 d e f g h pocket wtch electricity meter uilders squre sphygmomnometer thermometer micrometer fuel guge sextnt A LENGTH A length is mesure of distnce. The erliest units of length were relted to prts of the ody. We still tlk out the spn of your hnd. A cuit ws the length from your elow to the tip of your fingers. A yrd ws the distnce from your nose to your fingertip. A pce ws the length of your stride. There were 1000 pces in Romn mile. However, ll of these mesurements were inccurte ecuse people re different sizes. How fr is it to the shop? 1000 pces. spn cuit Tht mens 2000 for me... In order tht people could mke mesurements tht were stndrd, the British Imperil system ws developed. This system uses inches, feet, yrds, nd miles to mesure length. This system is still used in few countries, ut the Metric System developed in Frnce in 1789 is now used more commonly throughout the world. The sic unit for length is the metre (m). Other smller nd lrger units re sed on powers of 10 from the metre, which mens tht metric lengths cn e written s deciml numers.
166 MEASUREMENT (Chpter 8) 1 millimetre (mm) = 1 1000 m =0:001 m 1 centimetre (cm) = 1 100 m =0:01 m 1 kilometre (km) = 1000 m milli mens thousndth. centi mens hundredth. kilo mens thousnd. The following my help you visulise some of the units of length. 1 mm the thickness of 5 cent coin 1 mm 1 cm the width of fingernil 1 cm 1 m the height of lrge dog 1 m 1 km twice round n AFL ovl oundry LENGTH CONVERSIONS When we convert from one unit to smller unit, there will e more smller units. We therefore need to multiply. When we convert from one unit to lrger unit, there will e less lrger units. We therefore need to divide. 1 cm =10mm 1 m = 100 cm 1 km = 1000 m km m cm mm
MEASUREMENT (Chpter 8) 167 Exmple 1 Self Tutor Write the following in metres: 300 cm 2:1 km c 4700 mm We re converting from smller unit to lrger one, so we divide. 300 cm = (300 100) m =3m We re converting from lrger unit to smller one, so we multiply. 2:1 km =(2:1 1000) m = 2100 m c We re converting from smller unit to lrger one, so we divide. 4700 mm = (4700 10) cm = 470 cm = (470 100) m =4:7 m EXERCISE 8A 1 Wht unit would you use to mesure: the length of whiteord the length of chopstick c the distnce round the school ovl d the distnce from Sydney to Cnerr. e the length of speedot f the width of piece of string? 2 The pictures elow re missing the units from their mesurements. Wht should they e? c 10... 54... 12... d e f 156... 5... 84...
168 MEASUREMENT (Chpter 8) 3 Use your ruler to mesure ech of these lines. Give your nswer in millimetres. c d 4 Use your ruler to mesure ech of these lines. Give your nswer in centimetres. c d 5 Write the following in metres: 900 cm 643 cm c 4753 cm d 4 km e 6:2 km f 13:5 km g 5000 mm h 9743 mm 6 Write the following in centimetres: 7 m 1:7 m c 6:39 m d 80 mm e 27 mm f 147 mm g 2 km h 4:9 km 7 Write the following in millimetres: 3 cm 7:1 cm c 9 m d 1:64 m 8 Write the following in kilometres: 6000 m 17 400 m c 653 000 cm d 216 400 cm 9 Peter s long jump distnce ws mesured s 2:265 metres. Write the length of his jump in centimetres. 10 Jodie mesured the length of ig lck nt s 2:35 cm. Write the length of the nt in millimetres. Exmple 2 By writing ech length in metres, find the sum of these lengths: Self Tutor 2 km, 240 m, 57 cm. 2 km + 240 m +57cm = 2000 m + 240 m +0:57 m = 2240:57 m 11 By writing ech length in metres, find the sum of these lengths: 3 km, 580 m 1 km, 38 m c 5 km, 674 m, 22 cm d 48 m, 91 cm, 6 mm
MEASUREMENT (Chpter 8) 169 12 To get to school, Ktrin wlked 600 m to the trin sttion, then trvelled 7 km y trin, then trvelled 4:1 km y us. Find the totl distnce trvelled y Ktrin in: metres kilometres. 13 Write the following lengths in order of size from shortest to longest: 0:13 m, 7:8 cm, 95 mm, 29:2 cm. 14 Joe is uilding this wooden cot frme for his y s nursery. 4 slts i Find the totl numer of slts. ii Find the totl length of timer required for the slts. i Find the height of the cot. ii Find the totl length of timer required for the posts nd horizontl ems. 06. m 07. m 9 slts 12. m 08. m B PERIMETER The perimeter of closed figure is mesurement of the distnce round its oundry. Suppose you stood t one corner of this plyground re, then wlked round the oundry until you returned to your strting point. The distnce you hve wlked is the perimeter of the plyground. The perimeter of polygon is found y dding the lengths of its sides. strting position Exmple 3 Self Tutor Find the perimeter of: 10 m 15 m 8 km 6 km 4 km 9 m 5 km 3 km Perimeter =10+9+15m =34m Perimeter =8+5+3+4+6km =26km
170 MEASUREMENT (Chpter 8) EXERCISE 8B 1 Find the perimeter of: 20 km 3 m 5 m 45 km 35 km 6 m c 3 cm d 35 mm 9 cm 10 cm 27 mm 27 mm 6 cm 15 mm e 5 km 6 km f 19 cm 34 cm 16 cm g 4 km 5 km 15 mm 5 km 12 mm h 15 cm 26 cm 7 m 6 m 5 m 13 cm 11 mm 13 mm 6 m 6 m 12 mm 14 mm 15 mm 6 m 7 m 5 m Exmple 4 Self Tutor Find the perimeter of: 8 cm 4 cm 5 m The sme mrkings on the sides of polygon show tht the sides hve the sme length. 3 m Perimeter =2 4+2 8 cm =8+16cm =24cm Perimeter =5+3 3 cm =5+9cm =14cm
MEASUREMENT (Chpter 8) 171 2 Find the perimeter of the following rectngles: 30 m 20 m 7 km 3 km c 40 mm 5 mm d 52 cm 17 cm 3 Find the perimeter of the following figures: 25 cm 11 m 7 m 15 cm c d 20 cm 9 m 10 cm 45 m 4 Use ruler to find the perimeter of these figures: B A C Which of these figures hs the longest perimeter? 5 Find the length of the fence round rectngulr pddock which is 120 my260 m. 6 Mrtine hs rectngulr tle cloth with the dimensions shown. She wnts to sew lce trimming long its order. Find the length of the lce required. If the lce costs $4:65 per metre, find the totl cost of the lce Mrtine needs. 32. m 16. m
172 MEASUREMENT (Chpter 8) 7 The jogging trck in city prk is shped s shown. If I run one lp of the trck, how fr do I run? Find the totl distnce tht I would run in 5 lps. 1 km 300 m 800 m 8 When two identicl regulr octgons re joined exctly on one side, the perimeter of the figure otined is 98 cm. If the octgons re seprted, wht is the perimeter of ech? Activity 2 Finding perimeters You will need: Tpe mesure or metre rule, trundle wheel. Wht to do: 1 Mke copy of the tle elow. Perimeter of : Unit of mesure Estimte Actul front cover of this text ook five dollr note your desk lrgest window in your clssroom plying crd your school gymnsium 2 Record the unit you will use to mesure the perimeter of ech item. 3 Estimte the perimeter of ech item. 4 Mesure ech perimeter crefully, nd record it in the tle. PRINTABLE TABLE
MEASUREMENT (Chpter 8) 173 Discussion How could you mesure the perimeter of figures with curved oundries? C AREA Look t the plcemt nd the postcrd longside. The surfce of the plcemt is clerly lrger thn the surfce of the postcrd. We sy tht the plcemt hs greter re thn the postcrd. Are is mesurement of the size of surfce. Discussion Are In groups of 4 or 5, discuss the following: 1 Decide how nd why ech of the following words hs link with the word re: pint, lwnseed, sunurn, crpet, dnger, moile phones, cr prking, rinfll, electortes. Use dictionry to check the menings of the words you re unsure of. 2 Wht res would the following people work with? List two exmples for ech of the people: frmer, tiler, crpenter, dermtologist, dressmker, police officer, lndscpe grdener, glzier, town plnner, pinter, politicin, crtogrpher, surveyor. We cn compre the res of two shpes y dividing them into re units of equl size.
174 MEASUREMENT (Chpter 8) EXERCISE 8C.1 1 For ech of the following pirs of shpes: i count the numer of re units in ech shpe ii determine which shpe hs the lrger re. A B A B c A B d A B e A B SQUARE UNITS As you hve seen, it is possile to compre res using vriety of shpes. There re mny ojects mde y humns which cn e divided into squres, so we choose squre unit to e universl unit for mesuring re. We write this s 1 unit 2. 1 unit2
MEASUREMENT (Chpter 8) 175 A squre cn e divided into two tringles: The re of ech tringle is 1 2 unit2. The re of closed figure, no mtter wht shpe, is the numer of squre units it encloses. EXERCISE 8C.2 1 Count the numer of squre units to find the re of ech of the following shpes: c d e f g h units 2 or u 2 is used to represent squre units. i j k l m n 2 Which of the shpes in 1 hs the: gretest re lest re?
176 MEASUREMENT (Chpter 8) METRIC UNITS In the metric system, we use the units of length mm, cm, m, nd km s sis for the units of re. 1 squre millimetre (mm 2 ) is the re enclosed y squre of side length 1 mm. 1 squre centimetre (cm 2 ) is the re enclosed y squre of side length 1 cm. 1 mm2 1 cm2 1 squre metre (m 2 ) is the re enclosed y squre of side length 1 m. 1 squre kilometre (km 2 ) is the re enclosed y squre of side length 1 km. 1 m2 1 m 1 km2 1 km Whereis mps re printed with permission from Sensis Pty Ltd nd suject to copyright. EXERCISE 8C.3 1 Wht units of re would e used to mesure the re of: the floor spce in house n envelope c crpet for doll s house d freckle on your skin e lrge islnd f microchip for computer g postge stmp h pge of ook? 2 Mtch the following descriptions with the correct re: picnic rug the Melourne Cricket Ground c New Zelnd d compct disc (CD) e this dot f Austrli s Cpitl Territory (A.C.T.) g suurn prk h 50 cent piece A 2400 km 2 B 110 cm 2 C 5 m 2 D 7:5 cm 2 E 600 m 2 F 7 mm 2 G 268 000 km 2 H 20 000 m 2
MEASUREMENT (Chpter 8) 177 3 Ech of the squres in these shpes hs re 1 squre centimetre. Count the squres to find the re of ech shpe. c 4 Consider the picture of throom. c How mny tiles hve een used for: i the floor ii the wlls? Do not forget tiles ehind nd under the sink cinet, nd in the shower. There re 25 tiles for ech squre metre. How mny squre metres of tiles were used? The tiles cost $36:90 per squre metre, nd the tiler chrged $18:00 per squre metre to glue them. Wht ws the totl cost of tiling? 5 Ech of the smll squres in these shpes hs re 1 squre millimetre. Find the re of ech shpe. c d Discussion When you found the res of the shpes in question 5, did you count ech individul squre? Is there quicker wy to find the re of these shpes? D THE AREA OF A RECTANGLE Consider rectngle 6 cm long nd 4 cm wide. 6 cm It contins 24 squre centimetres, so the re of the rectngle is 24 cm 2. 4 cm Insted of counting the individul squres, we cn multiply 6 4=24.
178 MEASUREMENT (Chpter 8) This leds to the generl rule: length ( l) width ( w) Are of rectngle = length width Exmple 5 Self Tutor Find the re of ech rectngle: 5 cm 3 m 7 cm 12 m Are = length width =7cm 5 cm =35cm 2 Are = length width =12m 3 m =36m 2 EXERCISE 8D 1 Find the re of ech rectngle: c 3 cm 7 m 11 cm 9 m 23 km 10 km d 6 cm e 12 mm f 10 m 8 cm 5 mm 17. 6 m 2 Find the re of ech rectngle: A 11 cm B 4 cm C 8 cm 15 cm 6 cm 8 cm Find the perimeter of ech rectngle in. c Which rectngle hs: i the gretest re ii the smllest perimeter?
MEASUREMENT (Chpter 8) 179 3 Find the re of this grden ed. 9 m 4 Whose computer screen is lrger: Meredith s or Gemm s? 40 cm 50 cm 15 m 42 cm 48 cm Meredith s computer Gemm s computer 5 Find the re of verndh tht is 12 metres long nd 4 metres wide. How mny litres of pint would e needed to pint the roof of the verndh if one litre of pint covers 16 m 2? 6 This lrge rectngle hs een divided into three smller rectngles. Find the re of the lrge rectngle. Find the re of: i the red rectngle ii the lue rectngle iii the green rectngle. c Find the sum of the res in. Compre this to your nswer to. 7 cm 4 cm 10 cm 6 cm 7 5 m A ckyrd hs the design shown. grden ed 1 m Find the totl re of the ckyrd. Find the re of the pved section. c Find the re of the lwn. lwn 2 m d Hence, find the re of the grden ed. 6 m pved 3 m 1 m
180 MEASUREMENT (Chpter 8) E VOLUME In Chpter 4, we lernt tht solid is n oject which occupies spce. The volume of solid is the mount of spce it occupies. As with units of re, the units for mesuring volume re relted to the units for mesuring length. We use cuic units to mesure volume. 1 cuic millimetre (mm 3 ) is the volume of cue with side of length 1 mm. 1 cuic centimetre (cm 3 ) is the volume of cue with side of length 1 cm. 1 cuic metre (m 3 ) is the volume of cue with side of length 1 m. 1 m EXERCISE 8E.1 1 Suggest suitle units of volume for: child s uilding lock uilding c cmer d ruish skip e tlet prescried y doctor. The index 3 in mm 3,cm 3, nd m 3 shows tht the shpe hs 3 dimensions: length, width, nd height. Exmple 6 Self Tutor Ech cue in this solid hs volume 1 cuic centimetre. Find the volume of the solid. The solid contins 17 cues. ) the volume of the solid is 17 cm 3.
MEASUREMENT (Chpter 8) 181 2 Ech cue in the solids elow hs volume 1 cuic centimetre. Find the volume of ech solid: c d e f g h 3 Use cues with volume 1 cm 3 to drw solid with volume: 12 cm 3 19 cm 3 c 25 cm 3 THE VOLUME OF A RECTANGULAR PRISM Investigtion The volume of rectngulr prism In this Investigtion we will discover quick wy to find the volume of rectngulr prism or ox. Rememer tht the length of the rectngulr prism is the distnce cross the front fce, the height is the height of the front fce, nd the width is the distnce etween the front nd ck fces. length height width
182 MEASUREMENT (Chpter 8) Wht to do: 1 Ech cue in the rectngulr prisms elow hs volume 1 cuic centimetre. Find the volume of ech rectngulr prism y counting the numer of cues. Copy nd complete this tle. Rectngulr prism Volume Length Width Height Length Width Height PRINTABLE TABLE 2 Copy nd complete: The volume of rectngulr prism =... From the previous Investigtion, you should hve discovered tht: length height width Volume of rectngulr prism = length width height Exmple 7 Find the volume of this rectngulr prism: 4 cm Self Tutor Volume = length width height =10cm 5 cm 4 cm = 200 cm 3 10 cm 5 cm
EXERCISE 8E.2 1 Find the volume of ech rectngulr prism: c MEASUREMENT (Chpter 8) 183 5 mm 6 m 4 cm 4 mm 2 m 8 mm 4 m d e f 3 mm 10 mm 5 mm 5 cm 7 cm 6 cm 5 cm 2 cm 2 Find the volume of this erser. 2 cm 3 cm 5 cm 3 A shoe ox is 30 cm long, 16 cm wide, nd 10 cm high. Find the volume of ir inside the shoe ox. 4 A cstle is surrounded y wll with the dimensions shown. The wll is 1 m thick nd 5 m high. The wll is roken only y set of gtes 5 m wide. Find the totl volume of the wll. Hint: Divide the wll into five sections. 5 m 1 m gtes 20 m 5 m 20 m 50 m F CAPACITY Volume nd cpcity re very similr terms. The word cpcity is usully used when referring to either liquid or gs. The cpcity of continer is mesure of the mount of fluid it cn contin.
184 MEASUREMENT (Chpter 8) The most commonly used units of cpcity re the litre (L) nd the millilitre (ml). For lrger cpcities such s swimming pools nd reservoirs, we use kilolitres (kl) nd meglitres (ML). ML kl L ml 1 L = 1000 ml 1 kl = 1000 L 1 ML = 1000 kl = 1 000 000 L Here re some exmples of continers nd their cpcities: Medicine glss 40 ml Milk crton 1 L Outdoor sp 2 kl Lke 30 ML Exmple 8 Self Tutor Convert: 8 LtomL 12 400 LtokL 8 L =(8 1000) ml = 8000 ml 12 400 L = (12 400 1000) kl =12:4 kl The units for cpcity re closely relted to the units of volume. ² 1 ml of fluid occupies 1 cm 3 of spce, so 1 ml 1 cm 3. ² 1 kl of fluid occupies 1 m 3 of spce, so 1 kl 1 m 3. 1 ml 1 cm 1 kl The symol mens is equivlent to. 1 m
MEASUREMENT (Chpter 8) 185 EXERCISE 8F 1 Wht units re most suitle for mesuring the cpcity of: perfume ottle thermos flsk c n Olympic pool d drinking glss e household wter use f reservoir g y s ottle h ucket? 2 Convert: 7 LtomL 5:6 kl to L c 3540 ml to L d 8:5 ML to kl e 760 000 LtoML f 12:4 kl to ml 3 A soft drink cn hs cpcity 375 ml. How mny litres of soft drink re in crton contining 24 cns? Exmple 9 Self Tutor Find the cpcity of this ox: 6 cm 8 cm 5 cm Volume of ox = length width height =8cm 5 cm 6 cm = 240 cm 3 Since 1 ml 1 cm 3, the cpcity of the ox is 240 ml. 4 A ottle occupies 700 cm 3 of spce. Wht quntity of liquid could it contin? The volume of tnk is 9 m 3. How much liquid could the tnk hold? 5 Find the cpcity of the following continers. Express your nswers using pproprite units. c 2 cm 4 cm 2 m 10 cm 8 cm 9 cm 5 cm 10 m 6 m 6 A tin contining sunflower oil is 15 cm long, 10 cm wide, nd 20 cm high. Find the cpcity of the tin in: millilitres litres. SUNFLOWER OIL 20 cm 15 cm 10 cm
186 MEASUREMENT (Chpter 8) Activity 3 Cpcity In nd round your home, look for lels which tell you the cpcity of the: ² fridge ² freezer comprtment ² cr engine ² th tu ² wshing mchine ² grge in ² wtering cn ² cistern flush ² fuel tnk. If you cnnot find lels, descrie wys tht you could mesure the cpcity of the oject. G MASS The mss of n oject is mesure of how hevy the oject is. The kilogrm (kg) is the se unit of mss in the metric system. Other units of mss which re commonly used re the milligrm (mg), grm (g), nd tonne (t). 1 g = 1000 mg 1 kg = 1000 g 1 t = 1000 kg You would use: ² milligrms to mesure the mss of fly 50 mg ² grms to mesure the mss of potto 400 g ² kilogrms to mesure the mss of horse 500 kg ² tonnes to mesure the mss of truck. 6 tonnes MASS CONVERSIONS To convert lrger units to smller units we multiply. To convert smller units to lrger units we divide. t kg g mg
MEASUREMENT (Chpter 8) 187 Exmple 10 Self Tutor Write the following in kilogrms: 350 g 8:5 t c 7 500 000 mg 350 g = (350 1000) kg =0:35 kg 8:5 t =(8:5 1000) kg = 8500 kg c 7 500 000 mg = (7 500 000 1000) g = 7500 g = (7500 1000) kg =7:5 kg EXERCISE 8G 1 Give the units you would use to mesure the mss of: person ship c ook d nn e lounge suite f rindrop g your school lunch h sell t i refrigertor j dinner plte k school ruler l ulldozer. 2 Write the following in grms: 8 kg 3:2 kg c 14:2 kg d 380 mg e 4250 mg f 75 420 mg g 6:8 t h 0:56 t 3 Write the following in kilogrms: 13 870 g 3:4 t c 786 g d 3496 mg 4 A lock of chocolte hs mss 120 g. Find the mss of 200 chocolte locks, giving your nswer in kilogrms. 5 350 sndgs re used to stop floodwters from reching school. Ech sndg weighs 20 kg. Find the totl mss of the sndgs, giving your nswer in tonnes. 6 There re 26 students in Jcqui s science clss. Her techer hs plced dish contining 3 g of purple powder on the front ench. Ech student requires 110 mg of the powder for n experiment. Will there e enough powder? 7 An eroplne strting long trip is initilly crrying 108 tonnes of fuel. During the flight, the eroplne urns 150 kg of fuel per minute. In totl, how much fuel does the plne urn during flight lsting 7 hours? How mny tonnes of fuel is the plne still crrying fter 2 hours?
188 MEASUREMENT (Chpter 8) Activity 4 Net mss You my hve noticed tht mny food pckges use the word net when descriing the mss of their contents. Net mss is the mss of contents not including the mss of the continer. Gross mss is the mss of the contents nd the continer. Wht to do: The jm weighs 550 g. The net mss is 550 g. The jm nd the jr together weigh 800 g. The gross mss is 800 g. The weight of the jr nd lid is 800 g 550 g = 250 g. 1 Collect some food items which re pcked in crdord, plstic, nd glss. Find the net weight stted on the continer. Weigh the full continer nd record the gross mss. 2 Record your oservtions in tle like this. Item Net mss Gross mss Mss of continer 3 Discuss why food pckges hve net msses printed on them. KEY WORDS USED IN THIS CHAPTER ² re ² cpcity ² centimetre ² cuic centimetre ² cuic metre ² cuic millimetre ² grm ² kilogrm ² kilolitre ² kilometre ² length ² litre ² mss ² meglitre ² metre ² milligrm ² millilitre ² millimetre ² perimeter ² squre centimetre ² squre kilometre ² squre metre ² squre millimetre ² tonne ² volume
MEASUREMENT (Chpter 8) 189 Review set 8 1 Convert: 35 mtocm 45 mm to cm c 83 000 kg to t 2 Find the perimeter of: 17 cm 12 cm 38. m 3 Ech of the squres in these shpes hs re 1 squre centimetre. Count the squres to find the re of ech shpe. 4 Find the totl mss of 1500 ornges if ech ornge hs mss 180 g. Give your nswer in kilogrms. 5 Write these lengths in order of size from shortest to longest: 57 cm, 790 mm, 0:068 m, 72:6 cm. 6 Convert: 380 ml to L 5:4 kl to L c 0:7 ML to L 7 My suitcse weighs 21:2 kg. Write this mss in: grms tonnes. 8 Ech cue in these solids hs volume 1 cuic centimetre. Find the volume of ech solid. c
190 MEASUREMENT (Chpter 8) 9 Find the volume of these rectngulr prisms: 12 m 4 cm 7 cm 2 m 5 cm 2 m 10 Determine the cpcity of rectngulr rinwter tnk which is 5 my3 my4:5 m. Prctice test 8A Click on the icon to otin this printle test. Multiple Choice PRINTABLE TEST Prctice test 8B Short response 1 Convert: 3200 gtokg 4:6 gtomg 2 Kym competes in the 200 metre, 400 metre, 800 metre, 1500 metre, nd 5000 metre running events on sports dy. How mny kilometres does she run in totl? 3 A truck cn crry 800 kg of soil. How mny tonnes of soil cn e crried in 25 trucklods? 4 Find the perimeter of: c 15 cm 8 mm 4 mm 12 cm 5 cm 13 cm 5 Suggest suitle units for mesuring the re of: postge stmp Austrli. 6 Use ruler to find the length of the following lines, giving your nswers in: i millimetres ii centimetres. 7 Sm mesured length of timer s 426 mm. Write this length in metres.
MEASUREMENT (Chpter 8) 191 8 Find the re of ech rectngle: 12 m 12 cm 2 cm 9 This window is divided into four equl-sized pnes y timer which is 4 cm thick. Find the re of ech pne. 4 cm 40 cm 30 cm 10 A rectngulr grden shed is 5 m long, 4 m wide, nd 4:5 m high. Find the volume of ir inside the shed. Stte the cpcity of the shed. Prctice test 8C Extended response 1 A frmer fences 250 my400 m rectngulr pddock with 3 strnd wire fence. Find the perimeter of the pddock. Find the totl length of wire needed. c The wire costs $2:40 per metre. Find the totl cost of the wire. 2 Find the re of ech of these rectngles: 10 m 3 m A 2 m B C 6 m 4 m c Find the perimeter of ech rectngle. Which rectngle hs: i the gretest perimeter ii the smllest re?
192 MEASUREMENT (Chpter 8) 3 A uilder needs to construct pergol with the dimensions shown. The support posts cost $15 per 10 m 75. m 35. m metre, nd the timer for the top costs $4:50 per metre. Find: i the totl length of timer for the top ii the cost of this timer. Find the cost of the posts. c Find the totl cost of uilding the pergol if nils nd other extrs cost $27. 4 This lrge rectngle hs een divided into three smller rectngles. Find the re of the lrge rectngle. Find the re of: i the red rectngle ii the green rectngle iii the yellow rectngle. c Find the sum of the res in. Compre this with your nswer to. 7 cm 6 cm 11 cm 4 cm 5 An icecrem continer is 10 cm long, 8 cm wide, nd 9 cm high. Find the re of the se of the continer. Find the volume of the continer. c Billy fills the continer with wter for his dog to drink. Wht is the cpcity of the continer? 10 cm 8 cm 9 cm