MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer:The width of the base = the volume ÷ (length × height)w = V/lhStep-by-step 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)