https://file.aiquickdraw.com/mathbot/file/17266204445754pl71y1a.jpg

To find the mass of the block of iron, we need to use the formula:

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

### Step 1: Find the Volume
The block is a rectangular prism, and its volume is calculated by multiplying its dimensions:

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

From the image:
- Length = 10 cm
- Width = 5 cm
- Height = 2 cm

So, the volume is:

\[
\text{Volume} = 10 \, \text{cm} \times 5 \, \text{cm} \times 2 \, \text{cm} = 100 \, \text{cm}^3
\]

### Step 2: Use the Density of Iron
The density of iron is approximately **7.87 g/cm³**.

### Step 3: Calculate the Mass
Now, using the formula for mass:

\[
\text{Mass} = 7.87 \, \text{g/cm}^3 \times 100 \, \text{cm}^3 = 787 \, \text{g}
\]

Thus, the mass of the block of iron is **787 grams**.

---

Would you like further details, or do you have any questions?

Here are 5 related questions:
1. How would the mass change if the block was made of a different material, like aluminum?
2. What is the formula for calculating the volume of other shapes, such as spheres or cylinders?
3. How does the density of a material affect its mass for a given volume?
4. If the block were larger, say with a length of 20 cm, how would that affect its mass?
5. What are some common units of density in the metric system?

**Tip:** Always ensure that the units of all quantities are consistent when calculating physical properties like mass or volume.

What is the mass of the block of iron illustrated below?

Learn how to find the mass of a rectangular iron block using the formula Mass = Density × Volume. The block's dimensions are 10 cm × 5 cm × 2 cm, and the density of iron is 7.87 g/cm³. This problem is suitable for students in Grades 6-8.

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