A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What is the volume of the triangular prism?

cm3

Question

A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What is the volume of the triangular prism?
 
 cm3

directrix · Answer

The volume of the prism is the area of its base times its height. A = B*h

The volume of the pyramid is 1/3 * B *h. 

These two have the same base area and height in your problem.

directrix · Answer

V = B*h
V = 1/3 * B *h


The pyramid's volume is 1/3 that of the prism.

directrix · Answer

Volume of the pyramid is 26 cubic centimeters.

So, what is the volume of the prism?  @iholman

directrix · Answer

What is 26 * 3 =

iholman · Answer

78

iholman · Answer

78

directrix · Answer

Correct.   78  cm^3

iholman · Answer

What is the lateral surface area of the triangular pyramid? Use the net of the pyramid to find the lateral surface area.
 
 cm2
   Triangular pyramid with equilateral triangle base and its net - middle, left, right triangles base 2 feet, top triangle height 5 feet