The volume, V, of a rectangular prism is determined using the formula V=/wh where / is the length w is the width, and his the height of the prism. Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth. 0.2 inches 4.5 inches 46.1 inches 414.7 inches

## Step 1<br />The volume of a rectangular prism is given by the formula:<br />### \(V = lwh\)<br />where \(V\) is the volume, \(l\) is the length, \(w\) is the width, and \(h\) is the height.<br /><br />## Step 2<br />We are given the volume \(V = 138.24\) cubic inches, the height \(h = 9.6\) inches, and the length \(l = 3.2\) inches. We are asked to find the width \(w\).<br /><br />## Step 3<br />We can rearrange the volume formula to solve for the width:<br />### \(w = \frac{V}{lh}\)<br /><br />## Step 4<br />Substitute the given values into the formula:<br />### \(w = \frac{138.24}{3.2 \times 9.6}\)<br /><br />## Step 5<br />Calculate the value of \(w\).<br /><br />## Step 6<br />Round the result to the nearest tenth.