There is a wall made of 100 bricks as shown in the figure below. Each brick is cuboidal in shape. How many faces, edges, and vertices does each brick have?
A
6 faces, 12 edges, and 9 vertices
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B
4 faces, 6 edges, and 8 vertices
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C
6 faces, 12 edges, and 8 vertices
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D
8 faces, 9 edges, and 12 vertices
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Solution
The correct option is C 6 faces, 12 edges, and 8 vertices The wall is made of bricks which are cuboidal in shape. We know the following details about a cuboid:
⇒ Cuboids have 6 flat faces. Each of them is rectangular in shape.
⇒ There are a total of 12 edges in a cuboid that connect all the vertices.
⇒ From the three-dimensional analysis, a cuboid has 8 vertices.
Hence, we can conclude that one brick has 6 faces, 12 edges, and 8 vertices.