Math  /  Geometry

QuestionWhat shape best describes the cross-section cut perpendicular to the base of a right rectangular prism? (5 points) 1) Parallelogram 2) Trapezoid 3) Rectangle 4) Rhombus

Studdy Solution

STEP 1

1. The solid in question is a right rectangular prism.
2. The cross-section is taken perpendicular to the base of the prism.

STEP 2

1. Understand the geometry of a right rectangular prism.
2. Determine the shape of the cross-section when cut perpendicular to the base.

STEP 3

Understand the geometry of a right rectangular prism:
A right rectangular prism has six faces, all of which are rectangles. The opposite faces are parallel and congruent. The edges meet at right angles.

STEP 4

Determine the shape of the cross-section when cut perpendicular to the base:
When a right rectangular prism is cut perpendicular to its base, the cross-section is parallel to the side faces of the prism. Since the side faces are rectangles, the cross-section will also be a rectangle.
The shape that best describes the cross-section cut perpendicular to the base of a right rectangular prism is:
Rectangle \boxed{\text{Rectangle}}

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