Final answer:
The volume of a cube with edges that are 2 and 1/2 inches long is calculated by cubing the side length of 2.5 inches, resulting in a volume of 15.625 cubic inches.
Step-by-step explanation:
The volume of a cube is calculated using the formula V = s³, where V represents the volume and s is the length of a side of the cube. For a cube with edges that are 2 and 1/2 inches long, we first convert the fraction to a decimal, getting 2.5 inches for each side. To find the volume, we cube the side length:
V = (2.5 in)³
V = 2.5 in × 2.5 in × 2.5 in
V = 15.625 in³
Therefore, the volume of the large cube is 15.625 cubic inches.