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.