To calculate the density of the aluminum block, we need to follow these steps:
Step 1: Calculate the Volume
Volume Formula:
The formula for the volume \( V \) of a rectangular block is given by:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \]
Substituting the Measurements:
Given:
- Length = 3.6 cm
- Width = 2.3 cm
- Height = 2.2 cm
Now substitute these values into the formula:
\[ V = 3.6 , \text{cm} \times 2.3 , \text{cm} \times 2.2 , \text{cm} \]
Calculating the volume:
\[ V = 3.6 \times 2.3 \times 2.2 = 18.552 , \text{cm}^3 \]
Step 2: Calculate the Density
Density Formula:
The formula for density \( \rho \) is given by:
\[ \rho = \frac{\text{mass}}{\text{volume}} \]
Substituting the Values:
Given:
- Mass = 50 g
- Volume = 18.552 cm³
Now substitute these values into the formula:
\[ \rho = \frac{50 , \text{g}}{18.552 , \text{cm}^3} \]
Calculating the density:
\[ \rho \approx 2.698 , \text{g/cm}^3 \]
Final Answer
The density of the aluminum block is approximately:
\[ \boxed{2.70 , \text{g/cm}^3} \]
(Note: The answer is rounded to two decimal places.)
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