Question

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known

Answer 1

Width=
`(Volume)/((Length)*(height))`

Explanation:

You only have to clear the start of the formula:

V=L*W*H

Since lenght and height are multiplying the width of the base you have to clear them and take them to the other side of the equation dividing:

`(V)/(l*h)`

So you can calculate the width of the base by dividing the volume between the product of the Height times the length.

Answer 2

The width of the base = the volume ÷ (length × height)

w = V/lh

Explanation:

* Lets take about how to re-arrange any formula

- The formula of the volume of the rectangular prism is:

V = lwh, where l is the length of the base , w is the width of the

base and h is the height of the prism

- To find the formula of the width from the formula of the volume,

we must isolate the width in one side and all other dimensions in

other side

∵ V = lwh ⇒ divide both sides by l and h

∵ V/(lh) = (lwh)/(lh) ⇒ cancel lh up with lh down

∴ V/(lh) = w

∴ w = V/(lh)

∴ w = V ÷ (lh)

* The width of the base = the volume ÷ (length × height)