Question

the volume of this rectangular prism is 791.758 cubic meters. what is the value of m?
14.6 m
2.9 m
m = \boxed{} meters

Explanation:

Step1: Recall volume formula for prism

Volume $V = l \times w \times h$, where $l=14.6$, $w=2.9$, $h=m$, $V=791.758$.

Step2: Calculate product of known sides

$14.6 \times 2.9 = 42.34$

Step3: Solve for m

$m = \frac{V}{l \times w} = \frac{791.758}{42.34}$

Step4: Compute the division

$\frac{791.758}{42.34} = 18.7$

Answer:

18.7