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 for width $w$

$w=\frac{V}{lh}$

Step2: Substitute given values

$w=\frac{138.24}{3.2\times9.6}$

Step3: Calculate denominator first

$3.2\times9.6=30.72$

Step4: Compute width value

$w=\frac{138.24}{30.72}=4.5$

Answer:

B. 4.5 inches