To calculate the mass of the iron block, you can use the formula:
\[ \text{Mass} = \text{Density} \times \text{Volume} \]
First, you need to calculate the volume of the block. The volume \( V \) of a rectangular block can be found using the formula:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \]
Given the dimensions:
- Length = 8 cm = 0.08 m
- Width = 5 cm = 0.05 m
- Height = 4 cm = 0.04 m
Now, calculate the volume:
\[ V = 0.08 , \text{m} \times 0.05 , \text{m} \times 0.04 , \text{m} = 0.00016 , \text{m}^3 \]
Next, use the density of iron, which is 7,874 kg/m³, to find the mass:
\[ \text{Mass} = \text{Density} \times \text{Volume} = 7,874 , \text{kg/m}^3 \times 0.00016 , \text{m}^3 \]
Now, perform this multiplication:
\[ \text{Mass} = 7,874 \times 0.00016 = 1.25984 , \text{kg} \]
Thus, the mass of the iron block is approximately 1.26 kg.
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