Convert Units

Convert the total weight from kilograms to grams so that the units match the given density ($1 \text{ kg} = 1000 \text{ gms}$).

$112 \text{ kg} = 112,000 \text{ gms}$

Set up the Volume Formula

The volume of a cuboid is given by the product of its length, width, and thickness. Let the length be $L$.

$V = L \times 28 \times 5 = 140L \text{ cm}^3$

Equate Total Weight

Multiply the volume by the density ($25 \text{ gms/cm}^3$) to get the total weight and equate it to $112,000 \text{ gms}$.

$140L \times 25 = 112,000$

Solve for Length ($L$)

Simplify the equation to find the value of length $L$.

$3500L = 112,000 \implies L = \frac{112,000}{3500} = 32 \text{ cm}$