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Ask Marilyn: Calculating the Volume of an Altered Cube

Leo Tschirhart of Ann Arbor, Michigan, writes:

Marilyn: Say that a wedge is removed from the center of a cube as shown. How much of the original volume of the cube remains?

Marilyn responds:

Stop here, readers, if you’d like to solve this nice little visual logic puzzle yourself. Envision turning over the piece on the right and joining it to the piece on the left. A rectangular solid is produced. This solid is three-fourths as wide as the cube was, so three-fourths of the volume remain.



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