Question

The 3D figure shows the view of an object. Identify the correct view when figure opened up amongst the answer figures.

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

The object is a house-shaped prism with a pentagonal end, so its net needs 5 equal rectangles in a row and two pentagons attached to the floor rectangle.

Answer 1

The Correct Option is A

The object is a prism whose ends are pentagons (a rectangle topped by a triangle, like the gable end of a house). It has 7 faces: 2 pentagonal ends and 5 rectangles (the floor, 2 walls and 2 sloping roof faces).
In the net, the 5 rectangles must lie in a single strip of equal length, in the order roof, wall, floor, wall, roof, so that the two roofs meet at the ridge when folded. The two pentagons attach to the two short edges of the floor rectangle, where each pentagon has its base edge.
Option 1 has exactly this: 5 equal rectangles in a column and the two pentagons attached at the ends of the middle rectangle (the floor).
Option 2 puts the pentagons inside the width of the strip, so the floor would be shorter than the walls and roofs. Option 3 has only 4 rectangles. Option 4 has clipped-corner rectangles at the top and bottom of the strip, which cannot be roof faces.
Answer: (1) Figure shown in option 1