Answer:
A. \(h=\frac{V}{lw}\)
B. 2.5 meters.
Step-by-step explanation:
We have been given that the volume of a box V is given by the formula \(V=lwh\), where l is length, w Is width, and h is height.
(A). Let us solve for h using opposite operations.
\(V=lwh\)
Switch sides:
\(lwh=V\)
Upon dividing both sides by \(lw\), we will get:
\(\frac{lwh}{lw}=\frac{V}{lw}\)
\(h=\frac{V}{lw}\)
Therefore, the value of h would \(\frac{V}{lw}\).
(B). To find height of the box, we will substitute \(V=50\text{ m}^3\), \(l=10\text{ m}\), and \(w=2\text{ m}\).
\(h=\frac{50\text{ m}^3}{10\text{ m}\times 2\text{ m}}\)
\(h=\frac{50\text{ m}^3}{20\text{ m}^2}\)
\(h=\frac{5\text{ m}}{2}\)
\(h=2.5\text{ m}\)
Therefore, the height of box is 2.5 meters.
