Question

a rectangular prism has length, width, and height as shown in the diagram. which is an expression for the volume of the prism? (v = lwh)
$\

$$\begin{array} { l } { \\bigcirc x ^ { 2 } + 5 x ^ { 2 } - 15 x } \\\\ { \\bigcirc x ^ { 2 } - x ^ { 2 } - 6 x } \\\\ { \\bigcirc x ^ { 2 } + 5 x + 6 } \\\\ { \\bigcirc x ^ { 2 } - x - 6 = 0 } \\end{array}$$

$

Explanation:

Step1: Recall the volume formula

The volume formula for a rectangular prism is \(V = lwh\), where \(l\) is length, \(w\) is width, and \(h\) is height.

Step2: Identify the values of \(l\), \(w\), and \(h\)

From the diagram, \(l=x + 3\), \(w=x\), and \(h = 2\).

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(2x^{2}+6x\) (assuming the option \(2x^{2}+6x\) is among the given choices. If not, please provide more details about the options.)