11 The rectangular base of an aquarium measures 1 foot by 2

(11) The rectangular base of an aquarium measures 1 foot by 2 feet. A rock is dropped into the aquarium (and is completely submerged) and the water level in the aquarium rises ¼ of an inch. Find the volume of the rock.

Solution

as rock is dropped into the aquarium .. the volume of the rock is equal to the volume of water level increases ..

water rises 1/4 of an inch = 0.25 inch = 0.25/12 foot =

volume of water level increases = l*b*h = 1 * 2 * 0.25/12 = 1/24 cubic foot

so the volume of the rock is 1/24 cubic foot....