We are given a rectangular prism with a volume of 343.2 cubic inches. The dimensions of the prism are 13 inches, 3.3 inches, and $b$ inches. We need to find the value of $b$.

1. Problem Description

We are given a rectangular prism with a volume of 343.2 cubic inches. The dimensions of the prism are 13 inches, 3.3 inches, and $b$ inches. We need to find the value of $b$.

2. Solution Steps

The volume of a rectangular prism is given by the formula:

$Volume = length \times width \times height$

In this case, the volume is 343.2 cubic inches, and the dimensions are 13 inches, 3.3 inches, and $b$ inches. So, we have:

$343.2 = 13 \times 3.3 \times b$

$343.2 = 42.9 \times b$

To find the value of $b$, we need to divide both sides of the equation by 42.9:

$b = \frac{343.2}{42.9}$

$b = 8$

3. Final Answer

The value of $b$ is 8 inches.