Question

identify cross sections of solids
score: 0/3 penalty: none
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 rectangle. which of the following solids could have resulted in that cross section?
answer
rectangular pyramid
right hexagonal prism
sphere
triangular pyramid

Explanation:

Step1: Analyze the cross - section of a sphere

A sphere, when cut by any plane, results in a circular cross - section, not a rectangular cross - section.

Step2: Analyze the cross - section of a rectangular pyramid

A rectangular pyramid, when cut by a plane perpendicular to its base, can result in a triangular cross - section (if the plane passes through the apex) or a trapezoidal cross - section (if the plane does not pass through the apex), not a rectangular cross - section.

Step3: Analyze the cross - section of a triangular pyramid

A triangular pyramid, when cut by a plane perpendicular to its base, results in a triangular cross - section, not a rectangular cross - section.

Step4: Analyze the cross - section of a right hexagonal prism

A right hexagonal prism has two congruent hexagonal bases. When a plane is perpendicular to the base of a right hexagonal prism, the cross - section is a rectangle.

Answer:

right hexagonal prism