BTGmoderatorDC wrote:If the length of each edge of a certain rectangular solid is an integer and exactly four of its faces have the same dimensions, then what is the volume of the rectangular solid?
(1) Two of the faces have areas of 32 square units and 16 square units.
(2) One of the edges is twice the length of another edge.
For the solid to have four faces with the same dimensions, two opposing faces must be SQUARES, as in the following figure:
In the figure above:
The area of the square base and the area of the square top = L*L.
The areas of the other four faces = L*H.
Statement 1:
Since the dimensions must all be integers, the rectangular solid must look as follows:
Since the dimensions of the solid are known, the volume can be determined.
SUFFICIENT.
Statement 2:
Since the dimensions of the solid are unknown, the volume cannot be determined.
INSUFFICIENT.
The correct answer is
A.
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