CK12 - Geometry

The dimensionsof the trapezoidalbaseare shown.Set up the formula.We’ll call the heightof the entire
prismHto avoidconfusionwithh, the heightof eachtrapezoidalbase.

Total surfacearea

Now find the area of eachtrapezoidalbase.You can do this by usingthe formulafor the area of a trapezoid.
(Notethat the heightof the trapezoid,2.46 is smallh.)

Now find the perimeterof the base.

Now find the total surfacearea of the solid.

Volumeof a RightRectangularPrism

Volumeis a measureof how muchspacea three-dimensionalfigureoccupies.In everydaylanguage,the
volumetells you how mucha three-dimensionalfigurecan hold.The basicunit of volumeis the cubic
unit—cubiccentimeter, cubicinch,cubicmeter, cubicfoot, and so on. Eachbasiccubicunit has a measure
of 1 for its length,width,and height.

Two postulatesthat applyto volumeare the VolumeCongruencePostulateand the VolumeAdditionPostulate.

VolumeCongruencePostulateIf two polyhedrons(or solids)are congruent,then their

volumesare congruent.