Final answer:
The density of the unknown substance is 2697.56 kg/m³.
Step-by-step explanation:
The density of a substance can be calculated using the formula:
Density = Mass / Volume
In this case, the mass of the cube is given as 132.8 kilograms and the volume is given as 49.2 L. To convert the volume from litres to cubic meters, divide by 1000 (since 1 L = 0.001 m³).
So, the volume of the cube is 49.2 L / 1000 = 0.0492 m³. Plugging in the values, we have:
Density = 132.8 kg / 0.0492 m³ = 2697.56 kg/m³
Therefore, the density of the unknown substance is 2697.56 kg/m³.