Imagine eight identical cubes, glued together along faces to form the letter 'C'. (i) This looks like a 'C' from the front. What does it look like from the side? From the top? (ii) Glue additional cubes to make a shape that looks like 'C' from the front and 'P' from the top. (iii) Now, can you glue even more cubes to make it look like 'C' from the front, 'P' from the top, and 'P' from the side? (iv) Can you think of other letter combinations to make with a single combination of cubes in this manner?
From the side, the 'C' shape made of 8 cubes appears as a vertical column of squares. From the top, it appears as a horizontal row of squares, since the 'C' has uniform depth.
Add cubes to extend one vertical section downward when viewed from above, creating the stem of the 'P' while keeping the 'C' shape intact from the front view.
Yes, by adding more cubes in specific positions, the shape can be made to appear as 'C' from the front and 'P' from both top and side views simultaneously.
Other letter combinations are possible, such as 'L' from front and 'T' from top, 'E' from front and 'F' from side, or 'T' from all three views.
Explanation
(i) The side and top views show the depth and width dimensions of the 'C' shape. (ii) Additional cubes placed strategically can change the top view without altering the front view significantly. (iii) This requires careful placement of cubes to satisfy all three view constraints. (iv) Many letter combinations can be achieved by strategic cube placement.