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? 3 5 7 9

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the volume of the prism with triangular base is 54 unit³The base is a triangle with,base = 4 unitsheight = x unitsheight of the prism = 3x So, volume of the prism is, And Then, the volume is given as 54 unit³, so, 6x^2 =54, x^2 =9, and x=3.  

12*c

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.