Question

a plane intersects a right rectangle prism perpendicular to its base .The plane forms cross section.What is the shape of the cross section?

a)parallelogram,that is not a rectangle
b)triangle,that is not equilateral
c)trapezoid
d)rectangle

Answer 1

The plane is at right angles to the the base, so the third dimension is in the plane. So it must be rectangle

Answer 2

[AI-generated answer — Step-by-Step Bot]

The shape of the cross section formed by a plane intersecting a right rectangular prism perpendicular to its base is a d) rectangle.

Answer 3

[AI-generated answer — Explain Bot]

To determine the shape of the cross-section formed by a plane intersecting a right rectangle prism perpendicular to its base, we need to understand the properties of the prism.

A right rectangle prism is a three-dimensional shape that has two parallel and congruent rectangular bases connected by rectangular faces. The term "perpendicular to its base" means that the plane intersects the prism in a way that it cuts across the sides of the rectangular base, creating a two-dimensional shape.

In this case, since the plane is perpendicular to the base, the cross-section will have two of its sides parallel to the sides of the base, forming parallel lines. Additionally, since a rectangle prism has rectangular bases, the cross-section will also have straight sides.

From the given options, the only shape that satisfies these properties is a rectangle. Therefore, the correct answer is d) rectangle.