Question

a three dimensional figure is cut by a plane parallel to its base, resulting in the given shape. which could be the shape of the original figure? (select all that apply) cube triangular prism cylinder square prism 7 matching 2 points what happens when a triangular prism is cut this way? parallel to the base triangle perpendicular to the base rectangle 8 multiple answer 4 points a student slices a 3 - dimensional wooden figure parallel to its base, resulting in the given shape: which of the following could be the shape of the original figure? (select all that apply) square prism triangular prism hexagonal prism cylinder

Explanation:

Step1: Analyze cube cross - section

A cube has square bases. When cut by a plane parallel to its base, the cross - section is a square.

Step2: Analyze triangular prism cross - section

A triangular prism has triangular bases. When cut parallel to its base, the cross - section is a triangle, not a square.

Step3: Analyze cylinder cross - section

A cylinder has circular bases. When cut parallel to its base, the cross - section is a circle, not a square.

Step4: Analyze square prism cross - section

A square prism has square bases. When cut parallel to its base, the cross - section is a square.

Step5: Analyze second set for triangular prism

For a triangular prism, when cut parallel to the base, the cross - section is a triangle as the base is triangular. When cut perpendicular to the base, the cross - section is a rectangle.

Step6: Analyze second set for other shapes

A square prism's base - parallel cut gives a square, not a triangle. A hexagonal prism's base - parallel cut gives a hexagon, not a triangle. A cylinder's base - parallel cut gives a circle, not a triangle.

Answer:

For the first question: A. Cube, D. Square prism
For the second question: Parallel to the base - Triangle, Perpendicular to the base - Rectangle
For the third question: B. Triangular prism