Question

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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

Answer 1

Answer:

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]

Answer 2

Answer:

D

Step-by-step explanation: