Question

the volume of this rectangular prism is 672.290 cubic meters. what is the value of d? 7.4 m 11.5 m d = \boxed{} meters

Explanation:

Step1: Recall volume formula of prism

The volume $V$ of a rectangular prism is $V = l \times w \times h$, where $l=7.4$, $w=11.5$, $h=d$, and $V=672.290$.

Step2: Calculate product of known sides

$\text{Product} = 7.4 \times 11.5 = 85.1$

Step3: Solve for $d$

Rearrange formula: $d = \frac{V}{l \times w}$
$\displaystyle d = \frac{672.290}{85.1}$

Step4: Compute final value

$d = 7.9$

Answer:

$d = 7.9$ meters