The height of an equilateral triangular prism increases by three units. The new volume is more than the original by how much?

A- three times the length of the height
B- three times the area of the base
C- three more than the the area of the base
D- three more than the length of the height

Question

The height of an equilateral triangular prism increases by three units. The new volume is more than the original by how much?


  A- three times the length of the height 
  B- three times the area of the base 
  C- three more than the the area of the base 
  D- three more than the length of the height

directrix · Answer

B- three times the area of the base

directrix · Answer

Volume of original prism is Bh where B is the area of the base and h is the height
Volume of enlarged prism is B *(h + 3) = Bh + 3B. This differs from the original volume by 3B which is three times the area of the base.