📅 Created: 09 Jul, 2023
🔄 Updated: 23 Aug, 2025

select the pair of the best expresses the relationship similar to the one expressed by the pair of words in capital letters. SQUARE : CUBE ?

Explanation

The relationship between "SQUARE" and "CUBE" is rooted in geometry, where the square is a two-dimensional shape and its three-dimensional counterpart is the cube. The transformation involves the extension of a shape from two dimensions to three dimensions.

In this context, the correct answer is "B: circle : sphere." A circle is a two-dimensional geometric figure, and when it is extended into the third dimension, it forms a sphere. This is analogous to how a square transitions to a cube.

Comparatively, the other options do not maintain this dimensional relationship as effectively. A trapezoid and a quadrangle (option A) both exist in two dimensions without a direct cubic counterpart. Option C, addition and subtraction, represents mathematical operations rather than geometrical shapes, and option D, triangle and hexagon, consists of two-dimensional shapes but lacks the volumetric aspect seen in the SQUARE and CUBE relationship. Thus, "circle : sphere" aligns logically and conceptually as the best expression of the original relationship.