Question

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?

Answer 1

To empty the aquarium it takes 26 minutes

Explanation:

step 1

Find the volume of the aquarium

The volume of rectangular prism is

`V=LWH`

we have

`L=33\ in\\W=26\ in\\H=12\ in`

substitute the given values

`V=(33)(26)(12)=10,296\ in^3`

step 2

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

`10,296/(396)=26\ minutes`

therefore

To empty the aquarium it takes 26 minutes