CK12 - Geometry

Colorand shadingcan also be addedto help the eye visualizethe solid. Example 1 Showisometricviewsof a prismwith an equilateraltr ...

A morecompleteorthographicblow-upshowsthe imageof the side on eachof the six wallsof the box. The sameimagelookslike this in fol ...

Showan orthographicview of the figure. First,placethe figurein a box. Now projecteachof the sidesof the figureout to the wallsof ...

CrossSectionView Imagineslicinga three-dimensionalfigureinto a seriesof thin slices.Eachsliceshowsacross-section view. The cross ...

Example 5 Whatkind of crosssectionwill resultfrom cuttingthe figureat the angleshown? Example 6 Whatkind of crosssectionwill res ...

Nets One final way to representa solid is to use a net. If you cut out a net you can fold it into a modelof a figure. Nets can a ...

The net createsa box-shapedrectangularprismas shownbelow. Example 8 Whatkind of net can you drawto representthe figureshown?Draw ...

Giventhe followingpyramid: If the pyramidis cut with a planeparallelto the base,whatis the crosssection? If the pyramidis cut w ...

10. Answers Namefour differentwaysto representsolidsin two dimensionson paper. Isometric,orthographic,crosssectional,net Show ...

9. 10. Prisms LearningObjectives Use nets to representprisms. Find the surfacearea of a prism. Find the volumeof a prism. Intr ...

Two postulatesthat applyto area are the AreaCongruencePostulateand the AreaAdditionPostulate. AreaCongruencePostulate:If two pol ...

squareunits Example 9 Use a net to find the surfacearea of the prism. The area of the net is equalto the surfacearea of the figu ...

The surfaceareaof the rectangularsidesof the figureis calledthelateralareaof the figure.To find the lateralarea,you couldadd up ...

So the area of eachsmalltriangleis: The area of the entirehexagonis therefore: You can also use the formulafor the area of a reg ...

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

VolumeAdditionPostulateThe volumeof a solid is the sum of the volumesof all of its non-overlappingparts. A right rectangularpris ...

So the volumeof this rectangularprismis cubicunits. Volumeof a RightPrism Lookingat the volumeof right prismswith the sameheight ...

Now use the formulafor the volumeof the prism, , where is the area of the base(i.e., the area of the triangle)and is the heighto ...

Thus,the volumeof the prismis givenby: ReviewExercises For eachof the followingfind the surfaceare a using a. the methodof nets ...

How manysquarefeet (excludingthe roof) are thereon the surfaceof the barn to be painted? If a gallonof paintcovers250 squarefee ...