Question

The right rectangular prism shown has square bases.



image


Which cross section of the prism would result in a square?



A.
a slice parallel to its base

B.
a slice parallel to the longest side

C.
a slice perpendicular to its base

D.
a slice perpendicular to a diagonal

Answer 1

A. A slice parallel to the base.

Any cross section parallel to the square base is congruent to the base, so it is a square. Slices perpendicular to the base (or to a diagonal) generally give rectangles unless the height equals the base side.