!
VolumeofaCuboid
Video355onwww.corbettmaths.com
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Clickhere
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Examples
Workout
Question1: Workoutthevolumeofeachcuboid.
Includesuitableunits.
(a) (b) (c)
(f)
(d)
(e)
Question2: Workoutthevolumeofeachcube.
Includesuitableunits.
(a)
(b)
(c)
(e)
(f)
(d)
© CORBETTMATHS 2017
!
VolumeofaCuboid
Video355onwww.corbettmaths.com
Question3: Findthelengthofeachcuboid.
(a)
(b)
(c)
Question4: Foreachcuboidbelow,Iindthemissingmeasurement,y.
(a) (b) (c)
Question5: Thevolumeofeachcubeisgiven.
Findthelengthofeachside,x.
(a)
(b)
(c)
Apply
Question1: Findthevolumeofawatertankthatis80cmlong,40cmwideand20cmhigh.
Question2: Awoodenbeammeasures4incheswideby4incheshighby60incheslong.
Workoutthevolumeofthewoodenbeam.
Question3: ThecubeontheTVshow“TheCube”isacubewitheachsidemeasuring4m.
Workoutthevolumeofthecube.
© CORBETTMATHS 2017
!
VolumeofaCuboid
Video355onwww.corbettmaths.com
Question4: Bothcuboidsbelowhavethesamevolume.
FindtheheightofcuboidB.
Question5: Thevolumeofthecubeistwicethevolumeofthecuboid.
Findthelengthofthecuboid.
Question6: Thecuboidcontainerbelowisusedtostoreboxes.
Eachboxisacubewithsidelength1m.
Howmanyboxescanbestoredinthecontainer?
Question7: Thecuboidcontainerbelowisusedtostoreboxes.
Eachboxisacubewithsidelength50cm.
Howmanyboxescanbestoredinthecontainer?
Question8:
AnemptyswimmingpoolisgoingtobeIilledwithwater.
Theswimmingpoolisacuboid,thatis25metreslong,10metreswideand
2metresdeep.
ItisbeingIilledatarateof800litresperminute
Given1m³=1000Litres,howlongitwilltaketoIilltheswimmingpool?
Giveyouranswerinhoursandminutes.
© CORBETTMATHS 2017
!
VolumeofaCuboid
Video355onwww.corbettmaths.com
Question9: Shownisanetofacuboid.
Calculatethevolumeofthecuboid.
Question10: Acartonoforangejuiceisshownbelow.
Thecartonisintheshapeofacuboid.
Thedepthoftheorangejuiceis6cm.
Thecartonisturnedsothatitstandstheshaded(orange)
face.
Workoutthedepthoftheorangejuicenow.
Question11: Peterismakinggreenpaintbymixingblueandyellowpaintinacuboid
container,shownbelow.
Thecontainerhasawidthof30cmandlengthof40cmandisfull.
Hemixesbluepaintandyellowpaintintheratio2:3.
Peteruses8.4litresofbluepaint.
Calculatetheheightofthecontainer.
Answers
© CORBETTMATHS 2017
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Clickhere