Calculate Volume Difference: Nested Cuboids with Dimensions 4×5×3

To solve the problem, we'll start by calculating the volume of the small cuboid.

Step 1: Volume of the small cuboid
The small cuboid dimensions are $AB = 5$, $BC = 4$, and $BK = 3$. Hence, its volume is:

$V = 5 \times 4 \times 3 = 60 \, \text{cm}^3$

Step 2: Volume of the large cuboid
Since the small cuboid fits four times into the large cuboid, the volume of the large cuboid is:

$4 \times 60 = 240 \, \text{cm}^3$

Step 3: Volume of the large cuboid minus the small cuboid
Subtracting the volume of the small cuboid from the large cuboid, we have:

$240 - 60 = 180 \, \text{cm}^3$

Thus, the volume of the large cuboid minus the small cuboid is $\boxed{180 \, \text{cm}^3}$.