The density of ice is 0.921 g `cm^(-3)`. Calculate the mass of a cubic block of ice which is 76 mm on each side.

Explanation

To calculate the mass of a cubic block of ice with a given density, we can follow these steps:

### Step 1: Understand the given data
- Density of ice = 0.921 g/cm³
- Each side of the cube = 76 mm

### Step 2: Convert the side length from mm to cm
To convert millimeters to centimeters, we divide by 10:
\[ \text{Side length in cm} = \frac{76 \text{ mm}}{10} = 7.6 \text{ cm} \]

### Step 3: Calculate the volume of the cube
The volume \( V \) of a cube is given by the formula:
\[ V = \text{side}^3 \]
Substituting the side length:
\[ V = (7.6 \text{ cm})^3 = 7.6 \times 7.6 \times 7.6 = 438.976 \text{ cm}^3 \]
We can round this to:
\[ V \approx 439 \text{ cm}^3 \]

### Step 4: Use the density to find the mass
The mass \( m \) can be calculated using the formula:
\[ m = \text{density} \times \text{volume} \]
Substituting the values:
\[ m = 0.921 \text{ g/cm}^3 \times 439 \text{ cm}^3 \]
Calculating the mass:
\[ m \approx 404.199 \text{ g} \]
We can round this to:
\[ m \approx 404.2 \text{ g} \]

### Final Answer
The mass of the cubic block of ice is approximately **404.2 grams**.

---