Figure 1.vertices 1.edges 1.faces- Pentagonalprism
- Rectangularpyramid
- Triangularprism
- Trapezoidalprism
Answers
Identifyeachof the followingthreedimensionalfigures:
- pentagonalprism
- rectangularpyramid
- triangularprism
- triangularpyramid
- trapezoidalprism
- Belowis a list of the propertiesof a polyhedron.Two of the propertiesare not correct.Find the incorrect
onesand correctthem.
- It is a 3 dimensionalfigure.
- Someof its facesare polygons. All of its facesare polygons.
- Polygonfacesjoin togetheralongsegmentscallededges.
- Eachedgejoins threefaces. Eachedgejoinstwo faces.
- Thereare no gapsbetweenedgesand vertices.
Completethe tableand verifyEuler’s formulafor eachof the figuresin the problem.
Figure 1.vertices 1.edges 1.faces- Pentagonalprism 10 15 7
- Rectangularpyramid 5 8 5
- Triangularprism 6 9 5
- Trapezoidalprism 8 12 6
In all casesvertices+ faces= edges+ 2