Final answer:
The mass of the ice cube is calculated by multiplying its volume (5.80 cm x 5.80 cm x 5.80 cm = 195.112 cm³) by its density (0.917 g/cm³), resulting in a mass of 178.857 g, which does not match any of the given options.
Step-by-step explanation:
To calculate the mass of the ice cube, we need to use the formula for density, which is:
Density = Mass / Volume
We have been given the density of the ice (0.917 g/cm³) and the dimensions of the ice cube (5.80 cm by 5.80 cm by 5.80 cm). The first step is to calculate the volume of the ice cube:
Volume = Length × Width × Height = 5.80 cm × 5.80 cm × 5.80 cm = 195.112 cm³
Next, we use the given density to calculate the mass:
Mass = Density × Volume = 0.917 g/cm³ × 195.112 cm³ = 178.857 g
The correct answer, therefore, would be 'none of the above', as none of the given options match the calculated mass of the ice cube.