Solve. Show all your work and exploin your steps. The volume of a square prism is 144x + 216x2 +81x. What is an expression that could describe the perimeter of one of the prism's square faces?
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Answer:
Perimeter of one prism's square face = 48x + 36
Step-by-step explanation:
Formula of Volume of Square Prism: V= s² (h)
If factor 144x^3 + 216 x^2 + 81x:
= 144x^3 + 216 x^2 + 81x
= (x)(12x + 9)²
We could conclude that
h = x
s = 12x+ 9
Then,
Formula for perimeter: 4s
Solution:
P = 4s
P = 4 (12x+9)
P = 48x + 36