The length of a rectangular prism is 1 more than three times the width w. The volume of the prism is 3 w cubed plus 19 w squared plus 6 w. What is a simplified expression for the height of the prism?

Let w represent width of the rectangle.

We have been given that the length of a rectangular prism is 1 more than three times the width w. So length of the rectangle would be .

We have been given that the volume of the prism is .

We know that volume of rectangular prism is width times length times height.

So we can set an equation as:

Let us factor out w from numerator.

Now we will cancel out from numerator and denominator.

Therefore, the height of the prism is units.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

answer: the answer is e

step-by-step explanation: