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Q.

Write the number of faces, vertices and edges can a cube and cuboid have:


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a

6, 8, 12

b

8, 6, 12

c

12, 8, 6

d

6, 6, 6 

answer is A.

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Detailed Solution

We know that a cuboid is a three-dimensional object that looks like our geometric box. It is also called a right cuboid and a rectangular box because it consists of rectangular faces that are perpendicular to each other, called cuboid faces. The corners of a cuboid or cube are called vertices, and the segment connecting the vertices is called the edge, and the rectangles formed by the edges are called the faces of the cuboid. A cuboid consists of 8 vertices. Let's draw a cuboid with 8 vertices A, B, C, D, E, F, G, H below.
 Question ImageWe count the number of edges by four below AB, BC, CD, DA. Above are the four edges EF, FG, GH and HA. On the left side are 2 edges EA and DH, on the right side are 2 edges BF and CG. So there are 12 edges in total.
We count the number of rectangles to count the number of areas that are ABCD, EFGH, ABEF, DCGH, ADHE and BCFG. So there are 6 faces of a cuboid.
We know that a cube is a cuboid with the same length of all edges.
  Question ImageSo, like a cuboid, the number of faces of a cube is 6, the number of vertices is 8, and the number of edges is 12.
 
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