if aluminum has a density of 2.70 g/cm(exponent)3 what is the mass of a rectangular block made of this measuring 11.1cm by 22.2cm by 36.4cm

To find the mass of the rectangular block of aluminum, we can use the formula:

\[
\text{Mass} = \text{Density} \times \text{Volume}
\]

### Step 1: Calculate the Volume of the Rectangular Block
The volume \( V \) of a rectangular block is given by the product of its length, width, and height:

\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]

Substituting the given dimensions:

\[
V = 11.1 \, \text{cm} \times 22.2 \, \text{cm} \times 36.4 \, \text{cm}
\]

### Step 2: Calculate the Volume

\[
V = 11.1 \times 22.2 \times 36.4 = 8960.088 \, \text{cm}^3
\]

### Step 3: Calculate the Mass

Now, using the density \( \rho = 2.70 \, \text{g/cm}^3 \):

\[
\text{Mass} = 2.70 \times 8960.088 \, \text{cm}^3
\]

\[
\text{Mass} = 24,192.2376 \, \text{g}
\]

### Step 4: Convert to Kilograms (if needed)
If you need the mass in kilograms, divide by 1000:

\[
\text{Mass} = 24.192 \, \text{kg}
\]

So, the mass of the block is **24.192 kg**.

Would you like more details or have any questions? Here are some related questions:

1. What would be the mass if the block was made of a material with a different density?
2. How would the mass change if the dimensions of the block were halved?
3. How do you convert between different units of density (e.g., kg/m³ to g/cm³)?
4. What are some real-world applications of calculating the mass of materials?
5. How does temperature affect the density of materials?

**Tip:** Always ensure units are consistent when performing calculations involving physical properties.

Learn how to calculate the mass of an aluminum rectangular block using its density and dimensions. Step-by-step guide with formulas and detailed calculations provided.

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