Which box will have more volume a cuboid or a cylinder of same height?

To determine which shape has more volume, we need to compare the volume formulas for both shapes. The volume of a cuboid is calculated as ( V = \text{length} \times \text{width} \times \text{height} ), while the volume of a cylinder is ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the base area of the cuboid is larger than the circular base area of the cylinder (which depends on the dimensions chosen), then the cuboid will have more volume. Conversely, if the circular base area of the cylinder is larger, then the cylinder will have more volume.