the volume V of a rectangular prism is given by V=lwh, where l is the length of the prism, w is it's width, and h is its height. The length of a certain rectangular prism is three times its width, and its height is 2 feet less than its width. write a simplified expression that represents the volume of the prism in cubic feet
since 1 ft is 12 in. multiply V=lwh with 12 in. then divide it with w 3 times each feet then you will find the rest easy.
THANK YOU!
To write a simplified expression that represents the volume of the prism, we need to substitute the given values into the formula V = lwh.
Let's assign variables to the given dimensions:
Let w represent the width of the prism.
The length (l) of the prism is three times its width, so the length (l) is 3w.
The height (h) of the prism is 2 feet less than its width, so the height (h) is w - 2.
Now we can substitute these values into the formula:
V = lwh
V = (3w)(w)(w - 2)
To simplify this expression, we can distribute and combine like terms:
V = 3w^2(w - 2)
V = 3w^3 - 6w^2
Therefore, the simplified expression that represents the volume of the prism is 3w^3 - 6w^2 cubic feet.