contestada

A swimming pool is in the shape of a rectangular prism. It holds 1,440 cubic feet of water. If the base measures 15 feet by 12 feet, then how deep is the pool?

Respuesta :

MsRay

Answer:

The pool is 8 feet deep.

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh, where l=length, w=width and h=height

Since the problem gives you the length and width of the rectangle as well as the total volume, you can plug in the values and solve for the missing variable 'h':

1440 = (15)(12)h  or 1440 = 180h

Divide both sides by 180:  [tex]\frac{1440}{180}=\frac{180h}{180}[/tex]

So, h = 8.  The height of the rectangular prism, or the depth of the pool, is 8 feet.