Which solid has one base that is a rectangle and four lateral surfaces that are triangles?
A.) triangular pyramid
B.) cone
C.) rectangular prism
D.) rectangular pyramid
D.) rectangular pyramid
The solid that has one base that is a rectangle and four lateral surfaces that are triangles is a rectangular pyramid.
To identify the solid, we can analyze the characteristics given in the question. We are told that this solid has a base that is a rectangle. This immediately eliminates options A and B since a triangular pyramid has a triangular base and a cone has a circular base.
Next, we need to consider the lateral surfaces. The question specifies that there are four lateral surfaces that are triangles. This means that the solid must have four triangular sides that connect the base to a single point at the top. This eliminates option C since a rectangular prism has six rectangular sides, not triangular ones.
Therefore, the correct answer is option D, a rectangular pyramid.