Question

How many surfaces are there in the letters of the word sign ‘DESIGN’? Two views of the sign are shown below.

Hint:

When calculating the total number of surfaces for three-dimensional objects, count all possible sides (front, back, top, bottom, left, and right) for each unit and multiply by the number of units.

Answer 1

To determine the total number of surfaces in the word "DESIGN," follow these steps:
1. Each letter is three-dimensional and will have the following surfaces:
- Front and back surfaces: 2
- Top and bottom surfaces: 2
- Two side surfaces: 2
Therefore, each letter contributes 6 surfaces.
2. The word "DESIGN" consists of 7 letters. Hence, the total number of surfaces is: \[ \text{Total Surfaces} = 7 \times 6 = 42 \] Conclusion: The total number of surfaces in the word "DESIGN" is 42.