Unit 9 : Volume Friendly Notes Cubic Units Alltheedgesofacubeareofequallength. Thesidesareallsquares. Acuboidhasrectangularand/orsquaresides. Cubesandcuboidsarecalled rectangular prisms. Rectangularprismsare solid figures. 163 © 2014 Marshall Cavendish Education Pte Ltd Primary Mathematics (Common Core Edition) Extra Practice 5 11_(M)PMCCEdn_EP5_09.indd 163 5/23/14 8:28 AM Volume of Rectangular Prisms Thevolumeofasolidistheamountofspaceitoccupies. Thevolumeofaunitcubeis1cubicunit. Eachedgeofthecubeis1cmlong. Thevolumeofthecubeis1cubiccentimeter(cm3). 1cm 1cm 1cm Thecubiccentimeter(cm3)isaunitofvolume. Thecubicinch(in.3),cubicfoot(ft3),andcubicmeter(m3)are otherunitsofvolume. Volumeofrectangularprism=length×width×height 1. Findthevolumeoftherectangularprismwhichmeasures 18cmby20cmby10cm. Volumeofrectangularprism=18×20×10 =3,600cm3 2. Findtheheightoftherectangularprismwhichhasabase areaof24m2andavolumeof120m3. Heightofrectangularprism= volume basearea =120 24 =5m 164 Primary Mathematics (Common Core Edition) Extra Practice 5 © 2014 Marshall Cavendish Education Pte Ltd 11_(M)PMCCEdn_EP5_09.indd 164 5/23/14 8:28 AM 3. Findthevolumeofthecube. 12cm 12cm 12cm Volumeofcube =12×12×12 =1,728cm3 4. Arectangularcontainerwhichmeasures24cmby18cm by10cmis 3 filledwithwater.Findthevolumeofwaterin 4 thecontainer. Volumeofwaterincontainer= 3 ×(24×18×10) 4 =3,240cm3 5. Arectangulartank16cmlongand15cmwideisfilledwith watertoadepthof8cm.If240cm3morewaterisneeded tofillthetank,findtheheightofthetank. Volumeofwaterintank=16×15×8 =1,920cm3 Volumeoftank=1,920+240 =2,160cm3 Heightoftank= 2,160 16×15 =9cm 165 © 2014 Marshall Cavendish Education Pte Ltd Primary Mathematics (Common Core Edition) Extra Practice 5 11_(M)PMCCEdn_EP5_09.indd 165 5/23/14 8:28 AM Finding the Volume of a Solid 1000ml 1000ml 800 800 600 600 400 400 200 200 Whenasolidisplacedintoacontainerfilledwithwater, thewaterlevelinthecontainerwillincrease.Wesaythat thevolumeofthewaterdisplacedbythesolidisequalto thevolumeofthesolid. Volumeofwaterinthebeaker=500cm3 Volumeofwaterandthesolid =750cm3 Volumeofthesolid=750cm3−500cm3 =250cm3 166 Primary Mathematics (Common Core Edition) Extra Practice 5 © 2014 Marshall Cavendish Education Pte Ltd 11_(M)PMCCEdn_EP5_09.indd 166 5/23/14 8:28 AM.