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.

A) Solve for H
B) what is the height of the box with a volume of 50 cubic maters, length of 10 meters, and width of 2 meters.

Answer 1

A.
`h=(V)/(lw)`

B. 2.5 meters.

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:

`(lwh)/(lw)=(V)/(lw)`

`h=(V)/(lw)`

Therefore, the value of h would
`(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}* 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.