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Q.

A brick has ____ faces and {fill_numer} edges.


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Detailed Solution

We are asked to find the number of faces and edges of a brick.
We know that the brick is an example of a cuboid.
Let us take the rough figure of a cuboid as follows:
seoNow, let us find the number of faces and edges of the above cuboid.
We know that the definition of a face is the flat or a curved surface of a 3D object.
Here, we can see that all the surfaces are flat.
Now, let us make a list of surfaces in the above cuboid as follows-
(1) ABCD
(2) DCGF
(3) EFGH
(4) ABEH
(5) ADEF
(6) BCGH
Here, we can see that there are a total of 6 faces for a cuboid.
Now, let us find the number of edges of the cuboid.
We know that the definition of edge is the line segment where two faces meet.
Now, let us make a list of edges in the above cuboid then we get-
(1) AB
(2) BC
(3) CD
(4) DA
(5) EF
(6) FG
(7) GH
(8) HE
(9) AE
(10) DF
(11) BH
(12) CG
Here, we can see that there are a total of 12 edges.
Therefore, we can conclude that there are a total of 6 faces and 12 edges for brick.
 
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