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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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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 class=

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Answer:

Perimeter of one prism's square face

P = 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

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