Question 1 - Figure it out (Page 80, 81) - Net of a Cube - Chapter 4 Class 8 - Exploring Some Geometric Themes (Ganita Prakash II

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Question 1 - Figure it out (Page 80, 81) Which of the following are the nets of a cube? First, try to answer by visualisation. Then, you may use cutouts and tryAlright, let’s do this one by one Figure (i)Here, The 4 squares in a row fold to make the 4 walls, and the 2 squares on the sides become the floor and ceiling. Thus, this is a net of a cube Figure (ii)Here, It has 4 walls, but both side-flaps are on the same side! If you fold this, you will have a double-thick ceiling and a giant hole in the floor. Thus, this is not a net of a cube Figure (iii)Here, This "staircase" shape is a valid net. As you fold it, it perfectly rolls into a cube Thus, this is a net of a cube Figure (iv)Here, The "T" shape works. The middle column forms the floor, back wall, ceiling, and front wall. The side flaps close it up. Thus, this is a net of a cube Figure (v)Here, A cube only has 4 sides in a "ring". If you fold 5 squares in a straight line, the 5th square will overlap with the 1st one, and you'll be missing the floor and ceiling entirely. Thus, this is not a net of a cube Figure (vi)Here, This staggered shape folds together perfectly. Thus, this is a net of a cube