The expression (x−3)(x+3)(3x) represents the volume of a rectangular prism, where x−3 is the width, x+3 is the length, and 3x is the height.

the value of x is tripled. which statement must be true about the new prism?

a
the volume is tripled.

b
the width is tripled.

c
the length is tripled.

d
the height is tripled

width = (x-1)

Step-by-step explanation:

The volume of the prisms is defined in the problem as

Volume = x^3 + 9x^2 + 6x − 16

Volume  = width*height* length

And we know that,

length = (x+2)

height = (x+8)

We can find the roots of the equation, which happen to be

x = -8

x = -2

x = 1

(See image below)

This means that the volume can be represented as

Volume = x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)

Therefore,

The width = (x-1)

Step-by-step explanation:

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step-by-step explanation:

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