Aprism whose bases are equilateral triangles is inscribed in a cylinder of radius 2 and height 5. what is the volume of the prism?

The volume of the prism is

Step-by-step explanation:

we know that

The volume of the prism is equal to

where

B is the area of the equilateral triangle of the base

h is the height of the prism

step 1

Find the area of the base of the prism

The formula to calculate the area of a triangle by SAS (side-angle-side) is equal to

so

The area of the equilateral triangle of the base is

we have

substitute

step 2

Find the volume of the prism

we have

substitute

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times