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yes even if it was a regular hexagon, both statements are needed. The answer had been C in that case.

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What is the volume of the above prism?
(1) Each edge of the base measures 5 inches.
(2) The height of the prism is 6 inches.

It doesn't make sense to talk about "the" base. You could consider any face to be "the base" of this shape.

Assuming the base is the side on bottom of the shape, we know that face is a hexagon, where each edge is of length 5. We still have no idea what kind of hexagon we're dealing with; it might be a regular hexagon, but it's easy to make a hexagon with all sides equal that is not regular. If two opposite sides of such a hexagon are very close together, the area of the hexagon could be very close to zero. So even using both Statements, we can't find the area of the base, and can't find the volume, so the answer is E.

Hi IanStewart

If it was a regular hexagon, then we would've needed both the statements right..?

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what i find problem of this question is that each edge of the base even if i consider any base the problem still remains of each edge i can choose any edge then it is not a regular hexagon because diagonal are also edge of a hexagon
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Your doubt is not very clear.

The polygon with equal sides need not be a regular polygon (Except for triangle where equal sides means equal angles too).

See the figure above. for equal sides we can have regular hexagon or non regular too.
So, the area of hexagon base would be different which causes the volume to be different.

Volume = Base area * Height

Hence Answer is E
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bond001
IanStewart,GMATBusters


what i find problem of this question is that each edge of the base even if i consider any base the problem still remains of each edge i can choose any edge then it is not a regular hexagon because diagonal are also edge of a hexagon
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