Question

an architect designs a building by starting with a solid figure and slicing through it. the cross section is shown in light blue. what solid figure did the architect start with? the design is based on a dropdown with options: rectangular prism, triangular prism, triangular pyramid, square pyramid

Explanation:

Step1: Analyze the solid figure's cross - section and shape

The given solid figure has a triangular face at the top and when we look at its structure, a triangular prism has two triangular bases (or faces) and three rectangular faces. The cross - section shown and the overall shape of the solid (with a triangular top and rectangular sides) matches the structure of a triangular prism. A rectangular prism has rectangular bases, a triangular pyramid (tetrahedron) has a triangular base and three triangular faces meeting at a vertex, and a square pyramid has a square base and four triangular faces meeting at a vertex. So the solid figure the architect started with is a triangular prism.

Answer:

The design is based on a triangular prism (the option is "triangular prism" from the dropdown menu).