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What is the volume of a hexagonal-based prism with a height of in. and a base area of ? Would the volume be different if the base were a pentagon with an area of ? Explain.  

Even if the base shape changes, if the area of the base and height remains the same, would the volume be different?

The volume of each prism would be . The shape of the base does not matter as long as the base area is the same.