SOLUTION: Help I'm confused about this question. How do I solve it?: The height of an equilateral triangular prism increases by three units. The new volume is more than the original by how m

Question 590802: Help I'm confused about this question. How do I solve it?: The height of an equilateral triangular prism increases by three units. The new volume is more than the original by how much? If I were to times it by three, the area of the base, would the answer be in word form: three times the area of the base?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the area of the base remains the same.
that appears to be a given.
only the height has changed.
the volume of a prism is equal to the height * the area of the base.
assume the area of the base is y and assume the height is x, then the original volume is equal to x*y.
now the height is increased by 3 units.
that makes the height equal to (x+3).
the new volume is now equal to (x+3)*y which becomes xy + 3y
the new volume is xy + 3y
the old volume is xy
it appears that the new volume is more than the original volume by 3 times the area of the base.
i believe that's your answer and it would be worded that way.
3 times the area of the base is the additional volume measured in cubic units.
the area of the base is measured in square units.

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