10.7 Volume of Prisms and Cylinders

Name:_________________________________________________________Section:___________Date:_______________________________
10.7VolumeofPrismsandCylinders
right circular cone is
S
GetReady:
1) The lateral area of a
S
equal to
. If
the base of the cone has
a diameter of 24 cm,
what is the length of the
slant height (s), in centimeters?
2) What’s wrong with this problem???
Ex:Whatisthevolumeoftherighttriangularprism?
Prism-CylinderVolume:
Thevolumeofan
obliqueprism(or
Exercises:Findthevolumeofeachsolidin#1-6.All
measurementsareincentimeters.Round
approximateanswerstothenearesthundredths.
cylinder)isthe
sameasthevolume
ofarightprism(orcylinder)thathasthesame
_______________andthesame______________.
Prism-CylinderVolumeFormula:
Thevolumeofaprismoracylinderisthe________
__________________multipliedbythe________.
Name:_____________________
10.Sketchandlabeltwodifferentrectangularprisms,
eachwithavolumeof288cm3.
Inexercises11-13,expressthevolumeofeachsolid
intermsofthegivenvariables.
Forexercises8-9,sketchandlabeleachsolid
described,thenfindthevolume.
8.Anobliquetrapezoidalprism.Thetrapezoidalbase
hasaheightof4in.andbasesthatmeasure8in.and
12in.Theheightoftheprismis24in.
14.Acontractorneedstobuildaramp,asshownas
right,fromthestreettothefrontofagaragedoor.
Howmanycubicyardsoffillwithsheneed?
9.Arightcircularcylinderwithaheightof8.The
radiusofthebaseis6.