2. In the given cube, find the following:
(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersect at edge FB?
(iii) Which three faces form the vertex A?
(iv) Give all the edges that are parallel to edge AB.
Answers
Answer:
Step-by-step explanation:
(i) From the figure it is observed that EF is the intersection between faces EFGH and EFBA.
The edge EF is highlighted in figure:
(ii) From the figure it is observed that faces EFBA and FBCG intersect at edge FB.
Faces are highlighted in the given figure:
(iii) The three faces which form the vertex A are ABFE, ABCD and ADHE.
Faces are highlighted in the given figure:
(iv) Vertex D is formed by the faces ABCD, ADHE and CDHG.
D is highlighted in given figure:
(v) The edges which are parallel to edge AB are:
CD, EF and HG.
The edges are highlighted in given figure:
(vi) The edges that are neither parallel nor perpendicular to edge BC are AE, EF, GH and HD.
The edges are highlighted in given figure:
(vii) The edges that are perpendicular to edge AB are as follows AE, BF, AD and BC.
The edges are highlighted in given figure:
(viii) A, B, G and H are four vertices that do not all lie in one plane.
The vertices are highlighted in given figure: