What is the formula for the volume of a box?

The formula for the volume of a box is correctly represented by the product of its length, width, and height, which is denoted as lwh. This formula is derived from the basic concept of calculating the space occupied by a three-dimensional object.

In simpler terms, if you think of a box as a rectangular prism, you can visualize filling it up with unit cubes. The length provides the number of cubes along one dimension, the width gives the number of cubes along the second dimension, and the height indicates how many layers of cubes can fit. By multiplying these three dimensions together, you find the total volume of the box in cubic units.

The other formulas provided correspond to different geometric shapes: the lw option represents the area of a rectangle (which is two-dimensional, not three-dimensional), πr²h represents the volume of a cylinder, and 1/2 bh gives the area of a triangle. Therefore, the choice of lwh accurately describes the volume of a box, encapsulating the three-dimensional nature of this measurement.