Answer:
[tex]w=\frac{V}{lh}[/tex]
Step-by-step explanation:
As per the statement:
The volume of a rectangular prism is calculated using the formula:
[tex]V = lwh[/tex] Â Â Â Â Â Â Â Â Â Â ....[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 [tex]lh[/tex] to both sides we have;
[tex]\frac{V}{lh} = \frac{lwh}{lh}[/tex]
Simplify:
[tex]\frac{V}{lh} = w[/tex]
or
[tex]w=\frac{V}{lh}[/tex]
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:
[tex]w=\frac{V}{lh}[/tex]
The formula to find the width of the base of the prism is V / (l x h) = w.
A rectangular prism is a three-dimensional shape. It has 6 faces, 12 sides and 6 vertices. It also known as a cuboid.
Volume of a rectangular prism = length x width x height
V = w x l x h
In order to determine the value of the width given the formula for the volume, take the following steps:
Divide both sides of the equation by l
V / l = wh
Divide both sides of the equation by h
V / (l x h) = w
To learn more about rectangular prisms, please check: https://brainly.com/question/25829717
