An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 33 in , width 26 in , and height 12 in . Suppose water is pumped out of the aquarium at a rate of 396 in^3 per minute. If the aquarium starts completely full, how many minutes does it take to empty the aquarium?

Respuesta :

Answer:

To empty the aquarium it takes 26 minutes

Step-by-step explanation:

step 1

Find the volume of the aquarium

The volume of rectangular prism is

[tex]V=LWH[/tex]

we have

[tex]L=33\ in\\W=26\ in\\H=12\ in[/tex]

substitute the given values

[tex]V=(33)(26)(12)=10,296\ in^3[/tex]

step 2

Divide the volume by the rate of 396 in^3 per minute

[tex]10,296/(396)=26\ minutes[/tex]

therefore

To empty the aquarium it takes 26 minutes