Which solid has one base that is a triangle and three lateral surfaces that are triangles?
A triangular pyramid has one base that is a triangle and three lateral surfaces that are triangles.
more commonly called a tetrahedron.
I apologize for the mistake. You're correct that a tetrahedron is commonly referred to as a triangular pyramid. Thank you for correcting me.
The solid that has one base that is a triangle and three lateral surfaces that are triangles is called a triangular pyramid.
To understand this, let's break down the description of the solid. A base is the bottom surface of a solid, and a triangle has three sides and three angles. So, a solid with one base that is a triangle means it has a flat triangular bottom surface.
Next, lateral surfaces refer to the sides of the solid that connect the base to the apex. In this case, there are three lateral surfaces, which means the triangular pyramid has three triangular sides.
To get a clearer picture of a triangular pyramid, you can visualize a tent. The triangular base is like the floor of the tent, and the three sides are like the walls that slope upward to a single point, forming the apex.
If you would like to see an image of a triangular pyramid for a better understanding, you can search for it on an image search engine or refer to a geometry textbook.