Question

The volume of a box V is given by the formula V=lwh, where l is length, w Is width, and h is height.

Answer 1

1)Original Equation: V=lwh
Divide by lw: V/w=lw/lw(h)
Answer: h= V/lw

2)Set up the equation as V=lwh
Substitute the variables for numbers: 50=10(2)h
Multiply 10*2: 50=20h
Divide 50each side by 20 to get rid of 20h: 50/20=20/20
H=2.5
The height of the box is 2.5 meters tall.

Answer 2

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.