Quiz
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The height of a right rectangular prism is three times the
width of the base. The length of the base is twice the width.
Which expression represents the volume of the prism in
terms of w, the width of the base?
5w7 cubic units
6w? cubic units
5w cubic units
6w cubic units

V(w)  = 6*w³   [cubic units]  

Step-by-step explanation:

h height of the rectangular prism

L the length of the base

w the width of the base

Then the volume of the prism is area of the base times heigth therefore

V(p) =  L*w*h    [cubic units]         (1)

Now  the length of the base  L = 2*w

And the height   of the prism is  h = 3*w

If we plugging these values in equation (1) we get olume of a prism as function of w then

V(w) = 2*w* w * 3*w

V(w)  = 6*w³   [cubic units]

your answer is 40

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'.