To calculate the mass of the ice cube, we can use the following formula:

$\text{Mass} = \text{Density} \times \text{Volume}$

Step 1: Calculate the volume of the ice cube.

The ice cube has dimensions of $5.80 \, \text{cm} \times 5.80 \, \text{cm} \times 5.80 \, \text{cm}$. Since the ice cube is a cube, the volume ($V$) is calculated as:

$V = 5.80^3 = 195.112 \, \text{cm}^3$

Step 2: Use the density to calculate the mass.

The density of the ice cube is given as $0.917 \, \text{g/mL}$. Since 1 mL is equal to 1 cm³, we can directly use this in our formula.

$\text{Mass} = 0.917 \, \text{g/cm}^3 \times 195.112 \, \text{cm}^3 = 178.949 \, \text{g}$

Final Answer:

The mass of the ice cube is approximately 178.95 grams.

Would you like a detailed breakdown of any of the steps, or have any questions?

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Here are 5 related questions:

1. How does temperature affect the density of ice?
2. What would happen to the mass of the ice cube if its dimensions were doubled?
3. How does the density of ice compare to the density of liquid water?
4. What would be the mass of an ice cube with a density of 0.917 g/mL and volume of 250 cm³?
5. How do you convert between grams and kilograms for mass measurements?

Tip: When calculating mass, always ensure that the units of volume and density are compatible!