Question

question a solid is cut by a plane that is perpendicular to its base, forming a two - dimensional cross section in the shape of a triangle. which of the following solids could have resulted in that cross section?

Explanation:

Step1: Analyze cross - section of sphere

A sphere, when cut by a plane, always gives a circular cross - section. So, option A is incorrect.

Step2: Analyze cross - section of cylinder

A cylinder, when cut by a plane perpendicular to its base, gives a rectangular cross - section (if the cut is parallel to the axis) or a circular cross - section (if the cut is perpendicular to the axis). So, option C is incorrect.

Step3: Analyze cross - section of cone

A cone, when cut by a plane perpendicular to its base (and passing through the vertex), gives a triangular cross - section.

Step4: Analyze cross - section of pyramid

A pyramid, when cut by a plane perpendicular to its base, gives a trapezoidal or triangular cross - section (depending on the type of pyramid and the position of the cut). But the standard cross - section for a cone (when cut as described) is more directly triangular.

Answer:

B. Cone