A coat of paint of thickness 002 cm is to be applied uniform

Solution

let represent the measure of the edge of a cube and let represent the differential in volume represented by the thickness of the paint. The volume of the cube without the paint is and the volume of the cube with the paint is , and the difference is the volume of the paint, so the volume of the paint is: Which simplified is But the last term, the cube of 0.02, is so small that it will not change the value when rounded to the nearest cc, so discard it and factor the remainder Plugging in the values: and and . Rounded to the nearest cubic centimeter is 96 cm3