Question

The number of guppies that a fish tank can safely hold depends on its volume.A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies.how many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches highly safely hold?

Answer 1

24 guppies

Explanation:

Assuming a linear relationship, the volume required per guppy is given by:

`g=(576\ in^3)/(3\ guppies)\\ g= 192\ in^3/guppy`

The volume of the fish tank is given by the product of its length, by its width and its height:

`V = 24*12*16\\V=4,608\ in^3`

The number of guppies that this tank can safely hold is:

`n=(V)/(g)=(4,608)/(192) \\n=24\ guppies`

The tank can safely hold 24 guppies.