The volume of the triangular prism is 54 cubic units.

A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.

What is the value of x?

x = 3

Step-by-step explanation:

Given:

The volume  of the triangular prism : 54 cubic unitsThe base length: 4 unitThe height of the base: x The height of the prism : 3x  

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x  = 54

<=> = 9

<=> x = 3

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm

Distance=slopeslope is -2/4which equals-1/2the distance between these two points is -1/2