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VolumeofaPrism
Video356onwww.corbettmaths.com
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Examples
Workout
Question1: Calculatethevolumeofeachprismbelow
(a) (b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
Question2: Calculatethevolumeofeachprismbelow
(a)
(b)
(c)
(d)
(e)
(f)
© CORBETTMATHS 2017
!
VolumeofaPrism
Video356onwww.corbettmaths.com
Question3: Calculatethevolumeofeachcylinderbelow
(a)
(b)
(c)
Apply
Question1: Cillianmakestwocuboidsoutofclay.
Bothcuboidshavethesamevolume.
Findy
Question2: Thecuboidandthetriangularprismhavethesamevolume.
Findx.
Question3: Boxesofcoffeeareplacedintoacrate.
Eachboxofcoffeeisacuboidandthecrateisalsoacuboid.
HowmanyboxesofcoffeeLitintothecrate?
Question4:
JameswantstoLillanemptyLlowerpotwithsoil.
Hehas2litresofsoil.
Given1litre=1000cm³
DoesJameshaveenoughsoiltoLilltheLlowerpot?
© CORBETTMATHS 2017
!
VolumeofaPrism
Video356onwww.corbettmaths.com
Question5: Thesolidtriangularprismshownbelowismadefrommetal.
Theprismismelteddownandthemetalisusedtocreateasolidcube.
Findthesidelengthofthecube.
Question6:
Theswimmingpoolinaleisurecentreisshownbelow.
Thelengthoftheswimmingpoolis25mandthewidthis12m.
Thedepthoftheshallowendis1mandthedepthofthedeependis2.4m.
Given1m³=1000litres
Workouthowmuchwater,inlitres,theswimmingpoolholds.
Question7:
ALishtankis¼fullofwater.
Harrypoursa400mlglassofwaterintotheLishtank.
Given1ml=1cm³
WhatwillthedepthofthewateroftheLishtankthenbe?
Question8: Asolidglasspaperweightisintheshapeofatriangularprism
Thedensityoftheglassis2.4g/cm³
Workoutthemassofthepaperweight.
Answers
© CORBETTMATHS 2017
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