The base of a rectangular prism has an area of 2x^2+3x sq. In. The volume of the prism is 6x^3 +13x^2+6x cubic in. Write an expression that represents the height of the prism, i…

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asked Apr 23, 2023 201k views

1 Answer

Etarion · Answer 1 · 2023-04-26T20:21:08+0000

SOLUTION:

We are to find the height of the given prism, in inches.

Volume of a prism = Base area x Height

Height = Volume divided by Base Area

$Height\text{ = }\frac{6x^3+13x^2+6x}{2x^2\text{ + 3x}}^{}\text{ = 3x + 2}$

The height of the prism is 3x + 2 inches.