Question

К правильной треугольной призме со стороной основания 1 приклеили правильную треугольную пирамиду с ребром 1 так, что основания совпали. сколько рёбер у получившегося многогранника (невидимые рёбра на рисунке не изображены)?

Answer 1

У треугольной призмы -9 рёбер, а у пирамиды - 6, но у данной 
фигуры будет- 12 рёбер.
Ответ: 12.

Answer 2

Finding the Number of Edges in the Combined Polyhedron

To find the number of edges in the combined polyhedron, we need to determine the number of edges in the original triangular prism and the regular triangular pyramid that was attached to it.

Let's break down the problem step by step:

1. The original triangular prism has a base side length of 1. According to source a triangular prism with a triangular base has 9 edges. 2. The regular triangular pyramid that was attached to the prism has a base side length of 1 as well. According to source a triangular pyramid with a triangular base has 6 edges.

Now, let's calculate the total number of edges in the combined polyhedron:

- The original triangular prism has 9 edges. - The attached triangular pyramid has 6 edges.

Therefore, the total number of edges in the combined polyhedron is 9 + 6 = 15.

Please note that the invisible edges are not shown in the diagram.

I hope this helps! Let me know if you have any further questions.