Question

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

Answer 1

Answer:

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: