If a box has a greater volume, it can hold more cereal.
Box 2 can hold more cereal. Although the value of x is unknown, it represents a length, so it must be greater than zero. For any x > 1, the volume of Box 2 is greater than the volume of Box 1.
In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:
Box 1:
3(1.1⁵) = 4.83153
Box 2:
4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794
With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.
