The height of an equilateral triangular prism decreases by two units. The new volume is less than the original by how much?

two times the area of the base

two times the length of the height

two more than the the area of the base

two more than the length of the height

Question

The height of an equilateral triangular prism decreases by two units. The new volume is less than the original by how much?

 two times the area of the base

 two times the length of the height

 two more than the the area of the base

 two more than the length of the height

eyust707 · Answer

Well, do you know the forumla for the area of a trianglular prism?

anonymous · Answer

v=Bh?

inkyvoyd · Answer

Yes.

inkyvoyd · Answer

What happens to the height? h-2 right?

eyust707 · Answer

voume*

anonymous · Answer

B = area of base of the prism
V prism = Bh 
So, say you start with Bh. Then, if the height shrinks by two...
V new prism = B(h - 2) = Bh - 2B

This is 2B less than the original, so the answer is two times the area of the base

inkyvoyd · Answer

Now put that in there, and compare it to the original answer.

anonymous · Answer

Thanks you so much guys!