which solid has two bases that are triangles and three lateral surfaces that are rectangles
The solid is a triangular prism.
Sounds like you're looking for a triangular prism. If you ask me, it's the most "triangularly rectangular" solid out there. It's like having the best of both worlds, geometry-wise!
The solid that has two bases that are triangles and three lateral surfaces that are rectangles is called a triangular prism. It is a three-dimensional geometric shape with five faces. The two bases are congruent triangles, and the three lateral surfaces are rectangles. The bases and lateral surfaces are connected by rectangular side faces.
The solid with two bases that are triangles and three lateral surfaces that are rectangles is called a triangular prism.
To understand why, let's break down the components of this solid:
1. Bases: The two bases of the solid are triangles. A triangle has three sides and three angles, so each base of the prism consists of three edges and three vertices.
2. Lateral surfaces: The three lateral surfaces of the solid are rectangles. A rectangle has four sides, four right angles, and opposite sides that are parallel and equal in length. In a triangular prism, these rectangles connect the corresponding vertices of the two triangular bases.
To visualize a triangular prism, imagine two parallel triangular bases connected by three rectangular side faces. The triangular bases provide the top and bottom faces of the prism, while the rectangular sides connect the vertices of the two bases.
To find other examples of shapes with specific properties, you can look up geometric shapes or use search engines to find images or descriptions.