Question
picture a triangular wedge of cheese standing on one of its bases. after determining the shape of the three-dimensional object, state the number of sides of its horizontal cross section
Answers
GPT-4o mini
A triangular wedge of cheese, when standing on one of its bases, can be visualized as a prism whose base is a triangle. The vertical height of the wedge extends upward from the triangular base, forming the three-dimensional shape.
When you take a horizontal cross section of this triangular wedge, you will be cutting through the wedge parallel to the triangular base. Since the base of the prism is a triangle, the horizontal cross section at any height will also be a triangle.
Thus, the number of sides of the horizontal cross section of this wedge is **3**, corresponding to the three sides of the triangular shape.
When you take a horizontal cross section of this triangular wedge, you will be cutting through the wedge parallel to the triangular base. Since the base of the prism is a triangle, the horizontal cross section at any height will also be a triangle.
Thus, the number of sides of the horizontal cross section of this wedge is **3**, corresponding to the three sides of the triangular shape.