105. A packaging box is in the shape of a cube. Each of the faces of the box has surface area equal to 30 square inches. The box is used to package small unifix cubes that are 1 cubic centimeter in size that each weigh 1 gram. The cubes are made out of hard plastic, so they cannot be squished or made into another shape. How many of these unifix cubes fit inside the packaging box? 106. Suppose a ball fits inside of a cube perfectly snug. The cube has side length 12 inches. What is the volume inside the cube that is outside the ball?

Suppose three balls are put inside of a cylinder perfectly snug (like a can of tennis balls). What is the volume of the air inside of the can that is outside of the balls, if the height of the can is 9 inches, and the diameter of the base is 3 inches? 108. Suppose a can has height 5 inches, and the diameter of the base is 2.5 inches. What is the volume of the can? 109. For a certain fixed volume V, what object has the least surface area: a rectangular box or a sphere?