Question

the volume, v, of a rectangular prism is determined using the formula v = lwh, where l is the length, w is the width, and h is 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

Explanation:

Step1: Rearrange the volume formula for width

Given \( V = lwh \), solve for \( w \). Divide both sides by \( lh \): \( w=\frac{V}{lh} \).

Step2: Substitute the given values

Substitute \( V = 138.24\), \( l = 3.2\), and \( h = 9.6\) into the formula: \( w=\frac{138.24}{3.2\times9.6} \).
First calculate \( 3.2\times9.6=30.72 \).
Then \( w=\frac{138.24}{30.72} \).

Step3: Calculate the value of \( w \)

\( w = 4.5 \).

Answer:

B. 4.5 inches