SHAPE : CUBE
IF U PICK A FACE, HOW MANY FACES ARE PERPENDICULAR TO IT?
IF U PICK AN EDGE, HOW MANY EDGES ARE PERPENDICULAR TO IT?
Pick up a box and check
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To determine how many faces are perpendicular to a given face of a cube, you need to consider the geometry of a cube. Let's break it down step by step:
1. A cube has six faces, with each face being a square.
2. If you select one face of the cube, there are three faces adjacent to it (sharing a side).
3. Out of these three adjacent faces, two of them are perpendicular to the selected face. For example, if you choose the top face, the bottom face and the two side faces are perpendicular to it.
Therefore, when you pick a face of a cube, there are two faces that are perpendicular to it.
Now let's move on to determining how many edges are perpendicular to a given edge of a cube:
1. A cube has twelve edges, which are formed by the intersection of the faces.
2. If you select one edge of the cube, it is adjacent to four edges (sharing a vertex).
3. Out of these four adjacent edges, three of them are perpendicular to the selected edge. For example, if you choose an edge along the top face, the three adjacent edges connecting to that vertex along the vertical height of the cube are perpendicular.
Therefore, when you pick an edge of a cube, there are three edges that are perpendicular to it.