Volume, Capacity and Mass
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1 Series E Student My nme Volume, Cpcity nd Mss
2 Copyright 9 P Lerning. All rights reserved. First edition printed 9 in Austrli. A ctlogue record for this ook is ville from P Lerning Ltd. ISBN Ownership of content The mterils in this resource, including without limittion ll informtion, text, grphics, dvertisements, nmes, logos nd trde mrks (Content) re protected y copyright, trde mrk nd other intellectul property lws unless expressly indicted otherwise. You must not modify, copy, reproduce, repulish or distriute this Content in ny wy except s expressly provided for in these Generl Conditions or with our express prior written consent. Copyright Copyright in this resource is owned or licensed y us. Other thn for the purposes of, nd suject to the conditions prescried under, the Copyright Act 968 (Cth) nd similr legisltion which pplies in your loction, nd except s expressly uthorised y these Generl Conditions, you my not in ny form or y ny mens: dpt, reproduce, store, distriute, print, disply, perform, pulish or crete derivtive works from ny prt of this resource; or commercilise ny informtion, products or services otined from ny prt of this resource. Where copyright legisltion in loction includes remunerted scheme to permit eductionl institutions to copy or print ny prt of the resource, we will clim for remunertion under tht scheme where worksheets re printed or photocopied y techers for use y students, nd where techers direct students to print or photocopy worksheets for use y students t school. A worksheet is pge of lerning, designed for student to write on using n ink pen or pencil. This my led to n increse in the fees for eductionl institutions to prticipte in the relevnt scheme. Pulished P Lerning Ltd For more copies of this ook, contct us t: Designed P Lerning Ltd Although every precution hs een tken in the preprtion of this ook, the pulisher nd uthors ssume no responsiility for errors or omissions. Neither is ny liility ssumed for dmges resulting from the use of this informtion contined herein.
3 Series E Contents Topic Volume nd cpcity (pp. 8) litres millilitres mesuring volume with cuic cen metres displcement inves gte punch prolems solve Dte completed / / / / / / / / / / Topic Mss (pp. 9 ) using different weights kilogrms nd grms mss chllenges solve / / / / / / Series Author: Nicol Herringer Copyright
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5 Volume nd cpcity litres Cpcity is the mount of liquid tht continer cn hold. To mesure cpcity we use millilitres nd litres. = L For this c vity you will need litre milk crton. Complete this tle elow. Es mte how mny of ech continer it will tke to fill the milk crton. Wter o le Egg cup Mug Pls c cup Es mte Actul How mny litres re in: 5 = L = L c = L d = L e = L f = L g 7 = L h 9 = L i 4 = L Mtch ech continer to its cpcity in litres. L 4 L L 5 L 4 Cn you guess how mny litres of wter re used for one toilet flush? Now turn to the next pge to work out wht it ctully is. L Copyright P Lerning E
6 Volume nd cpcity litres 5 Wter is precious resource so we should tke cre not to wste it. This tle shows some of the wys we use wter t home. Complete the lst column if the ucket stnds for 5 litres. Wys we use wter Leving the wter running while rushing teeth. Flushing the toilet five mes dy. Numer of 5 litre uckets Amount of wter used in litres c Tking five minute shower. d e Wshing the dishes using dishwsher. Tking th. 6 For homework, Jz kept diry of how much wter his fmily used over dy on the weekend. There re four people in his fmily. This is wht he no ced: Jz hd n extr shower er swimming trining. Ech person rushed their teeth twice nd le the wter running. The toilet ws flushed mes. The dishwsher rn twice. Brny the dog hd one th. Ech person hd two 5 minute showers. How mny litres of wter did Jz nd his fmily use in dy? E Copyright P Lerning
7 Volume nd cpcity millilitres Millilitres re used to mesure smll mounts of liquid. A drop mesures out millilitre () A tespoon holds out 5 A cup is out 5 Bsed on the inform on ove, how mny millilitres re in: 5 rindrops 6 rindrops c cups of wter d 4 cups of ornge juice e tespoons f 6 tespoons Look crefully t the cpcity of ech of these items. Use numers to order them from smllest to lrgest: is the smllest, 7 is the lrgest. Bsed on the items in ques on, complete this tle. Write down the cpcity of ech item nd lso how mny more millilitres re needed to mke litre. Item Cpcity How mny more millilitres? c d Shmpoo Juice pck Sop Tomto suce Copyright P Lerning E
8 Volume nd cpcity millilitres 4 All of these cpci es re prts of litre. Drw line to mtch them to the correct frc on of litre: 5 4 litre 75 litre 5 4 litre 5 Connect ech lel to the correct plce on the jug y drwing line: litre 4 litre L litre litre 6 Lel ech continer with the mount of liquid it hs: L 8 L 8 c L Show the mount of wter in ech jug: L 8 L 8 c L litre 4 litre 4 E Copyright P Lerning
9 Volume nd cpcity mesuring volume with cuic centimetres Volume is the mount of spce tht n oject tkes up. To mesure volume we use cuic cen metres. One cuic cen metre is cm long, cm wide nd cm high. The symol we use for cuic cm is cm. cm cm cm = cm Use cen cues to crete the following models. Then clculte the volume of ech model y coun ng the cues. cm cm c d cm cm How mny more cues would this model need to hve volume of 7 cm³? cues Copyright P Lerning E 5
10 Displcement investigte Wht to do For this inves g on, you ll need king try, wterproof continer, mesuring jug nd toy cr. Step Plce the wterproof continer on the try. Step Fill the wterproof continer with wter right up to the rim. Step Crefully plce the toy cr into the wter. Step 4 Oserve the wter spilling over the rim of the wterproof continer into the king try. Step 5 Mesure how much wter overflowed y pouring it into the mesuring jug. Wht is the volume of the toy cr? Wht to do next Pretend tht recipe clls for cup of penut u er. It s not esy to mesure s cky, lumpy ingredient like penut u er. If you spoon it into mesuring cup, it doesn t se le on the o om so you re never sure exctly how much is there. However, don t despir. Displcement cn help! Explin how it cn help in the spce elow: 6 E Copyright P Lerning
11 Punch prolems solve Wht to do Solve the prolems elow. Show your working. Prolem Jess is mking ginger punch for her prty. Prt of the recipe clls for 4 litres of clu sod. Jess only hs 5 litre jug nd litre jug without ny mrkings. How cn Jess use oth jugs to get exctly 4 litres in the punch owl? 5 L L Con nued on pge 8. Copyright P Lerning E 7
12 Punch prolems solve Wht to do next Con nued from pge 7. Solve the prolems elow. Show your working. Prolem This me, Jess is mking different fruit punch for her prty. Prt of the recipe clls for litres of ornge juice. Jess only hs 4 litre jug, litre jug nd litre jug without ny mrkings. How cn Jess use ll the jugs, the lest mount of mes, to get exctly litres in the punch owl? L L 4 L 8 E Copyright P Lerning
13 Mss using different weights For this pge, you will need the following weights: g 5 g 5 g Ply guessing gme with your prtner. Plce one of the weights in your prtner s hnd, then they must guess which weight it is. Tke turns. Write the totl for ech of these comin ons of weights: 5 g + 5 g + g + g = g + 5 g + + g = c 5 g + g + 5 g = d 5 g + g + 5 g + = Gther these ojects nd weigh them using set of kitchen scles. Complete the tle nd put ring round the comin on of weights tht ech oject is closest to. Oject Mss of oject Comin on of weights closest to A rick 5 g 5 g g A o le of tomto suce 5 g 5 g g c A cn of ked ens 5 g 5 g g d A shoe 5 g 5 g g e Two lrge pottoes 5 g 5 g g Copyright P Lerning E 9
14 Mss kilogrms nd grms We mesure mss in kilogrms nd grms. We use grms to mesure smller units of mss nd kilogrms for lrger items. grms = kilogrm g = Some mes, mss cn e in oth nd g. These nns weigh more thn. They weigh g or nd g. Write the mss of ech of the following in kilogrms nd grms. 5 grms = g grms = g c 6 grms = g d 5 grms = g These items weigh more thn. Write the mss of ech in kilogrms nd grms: g g Wshing Powder c g d g E Copyright P Lerning
15 Mss kilogrms nd grms When mesuring smller items, we cn record their mesurements s grms or s prt of kilogrm. We do this y wri ng the mounts s decimls. You should lern these mss fcts: = g.5 = 5 g.5 = 5 g. = g Write ech mss in kilogrms. Use deciml not on when it is less thn. g = 6 g = c 5 g = e g = d 5 g = f g = 4 Write ech mss in grms: 45 = g c.5 = g 7 = g d 5.5 = g e.5 = g f 5.75 = g 5 Red the scles crefully nd lel the mss of ech item in. Use decimls c d E Copyright P Lerning
16 Mss kilogrms nd grms 6 Wht is the mss of ech of these prize-winning tomtoes in? g g g g 7 Blnce the mss of ech present in two different wys. Tick the different comin ons of weight: 5 g g g 5 g.5 5 g g g 5 g g.8 c 5 g g g 5 g.75 8 Show where the rrow would e on ech scle: c E Copyright P Lerning
17 Mss chllenges solve Ge ng redy Find the mss of ech ct y using ech clue: Felix is hlf the weight of Amrose. Amrose is more thn Mosley. c Mosley is hlf the weight of Roy-Brown. d Roy-Brown is 6. Felix Amrose Mosley Roy-Brown Wht to do next Find the mss of ech shpe y looking crefully t ech clue: HINT: the smiley fce is. = = = E Copyright P Lerning
H SERIES. Algebra Basics. Algebra Basics. Solutions. Curriculum Ready.
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