Given:

• Length of the original tank (L) = 5 m
• Width of the original tank (B) = 4 m
• Volume of the original tank (V) = 60 m³
• Volume of the model tank = 480 cm³

Step 1: Find the height of the original tank:

We know that the volume of a rectangular tank is given by:

Volume = Length × Width × Height

So, for the original tank:

60 m³ = 5 m × 4 m × Height

Height = 60 m³ / (5 m × 4 m) = 3 m

Step 2: Set up the proportionality:

Let’s assume the new scale factor is ‘x’:

• Length of the model tank = 5x cm
• Width of the model tank = 4x cm
• Height of the model tank = 3x cm

Step 3: Calculate the scale factor:

We know the volume of the model tank is 480 cm³. So, we can set up the equation:

(5x cm) × (4x cm) × (3x cm) = 480 cm³

Simplifying:

60x³ = 480

Solving for x:

x³ = 8

x = 2

Step 4: Find the length of the model tank:

The length of the model tank is 5x cm. Substituting x = 2, we get:

Length of the model tank = 5 × 2 cm = 10 cm