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]
