 How
many faces, edges, and vertices are in the rectangular
prism show?
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6 faces, 12 edges, and 8 vertices
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6 faces, 8 edges, and 12 vertices
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8 faces, 6 edges, and 12 vertices
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12 faces, 8 edges, and 6 vertices
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To solve this problem you need to begin by knowing
the definition of a face, an edge, and a vertice of
a prism.
The face of a rectangular prism is a polygon that
is a flat surface of a solid figure. Begin by counting
the number of faces on the rectangular prism. You
will find two faces at the ends and then four faces
going around between the two ends. So you have 6 faces
on this rectangular prism. As you look at your choices
you notice that only A and B offer you 6 faces, so
you have eliminated choices C and D.
An edge is the line segment where two faces of a
figure meet. Look at the prism and begin at one end
and you will notice that there are 4 edges at one
end. Therefore there must be 4 edges at the other
edge. Now count the number of edges between the two
ends. There are 4 more edges going around the prism.
Therefore you have a total of 12 edges. It looks like
choice A could be our answer. To make sure you need
to count the number of vertices.
A vertex or vertices (plural) is the point where
three edges of a figure meet. By this definition you
only need to count the corners or vertices on each
end. There are 4 on each end for a total of 8 vertices.
After finding the number of each of the parts of
the rectangular prism, your choice is A. You found
there to be 6 faces, 12 edges, and 8 vertices.
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Example
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