A drawing is provided with all the folds to construct the following three Dimensional object. Select the correct one.
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The object is a prism whose end faces are the stepped cross-shaped polygon. A correct net must have two matching (mirror) end polygons and one rectangular side face for every edge of that polygon.
The object is a prism: its front face is a stepped, cross-like polygon with 14 edges (a two-step staircase on the upper left, a tall central column, a right arm and a short bottom arm), extended backwards by a constant depth. So its net must contain: (a) two end polygons of exactly this shape, one the mirror image of the other when laid flat and joined through a side strip; (b) 14 rectangular side strips, one for each edge of the polygon, each as long as that edge and as wide as the depth, attached outside the matching edge of one of the two polygons. Option 1: the second polygon has its steps at different heights from the first one (not congruent) and only 13 strips are present, so it cannot close up. Option 2: only 13 strips are present. Option 4: only 12 strips are present. Option 3: both end polygons are the same stepped shape (one mirrored), they are joined by the strip of the right-hand edge, and the other strips are distributed so that each of the 14 edges has exactly one strip of the correct length (7 strips on the left polygon side including the joining strip, 7 on the right). Hence the drawing in option 3 folds into the given object. Answer: (3) answer figure 3
