Please help me with this is so confusing

The expression for the height of the solid is:

Step-by-step explanation:

Recall that the volume of a rectangular solid is given by:

Where l is the length, w is the width, and h is the height.

We know that the volume is given by the polynomial:

And that the length and width are given by, respectively:

Substitute:

We can solve for h. First, divide both sides by 3x:

Divide each term:

To solve for h, divide both sides by (x - 2):

Since this is a polynomial divided by a binomial in the form of (x - a), we can use synthetic division, where a = 2. This is shown below. Therefore, the expression for the height of the solid is:

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step-by-step explanation: