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
The triangular wedge of cheese, when standing on one of its bases, is essentially a triangular prism. The shape of the three-dimensional object is defined by having two triangular bases connected by three rectangular faces.
To determine the number of sides of its horizontal cross-section, we need to consider a horizontal slice made through the prism. Since the cross-section is made parallel to the triangular bases, the resulting shape will match the shape of the triangular bases.
The triangular base has three sides (the edges of the triangle). Therefore, the horizontal cross-section of the triangular prism will also be a triangle, which has 3 sides.
Thus, the number of sides of the horizontal cross-section of the triangular wedge of cheese is **3**.
To determine the number of sides of its horizontal cross-section, we need to consider a horizontal slice made through the prism. Since the cross-section is made parallel to the triangular bases, the resulting shape will match the shape of the triangular bases.
The triangular base has three sides (the edges of the triangle). Therefore, the horizontal cross-section of the triangular prism will also be a triangle, which has 3 sides.
Thus, the number of sides of the horizontal cross-section of the triangular wedge of cheese is **3**.