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

Answer:

$w=\frac{V}{lh}$

Step-by-step explanation:

As per the statement:

The volume of a rectangular prism is calculated using the formula:

$V = lwh$                     ....[1]

where, V is the Volume of the prism

l is the lenght

w is the width

h is the height of the prism respectively.

We have to Rewrite the formula to find the width of the base of the prism.

Divide equation [1] by $lh$ to both sides we have;

$\frac{V}{lh} = \frac{lwh}{lh}$

Simplify:

$\frac{V}{lh} = w$

or

$w=\frac{V}{lh}$

Therefore, the 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 is:

$w=\frac{V}{lh}$

Answer 2

if volume, length and height is known

 the formula is rewritten as:

w = v/lh