Question

given the 3d shape below, which of the following 2d shapes would result from the following slices. complete the table. matching 2 points what happens when a rectangular prism is cut this way? parallel to the base perpendicular to the base

Explanation:

Step1: Analyze slicing perpendicular to base

When slicing a hexagonal - prism perpendicular to the base, if the slice is made at an appropriate angle through non - parallel lateral faces, a triangle can be formed.

Step2: Analyze slicing vertically to base

When slicing a hexagonal - prism vertically to the base (parallel to the lateral edges), a rectangle is formed as the cross - section.

Step3: Analyze slicing parallel to base

When slicing a hexagonal - prism parallel to the base, a hexagon is formed as the cross - section since the base is a hexagon.

Answer:

Sliced perpendicular to base: TRIANGLE
Sliced vertically to base: RECTANGLE
Sliced parallel to base: HEXAGON