Final answer:
To find the relative density of the metal, we use the formula: Relative Density = Mass of Metal / Volume of Metal. By using the principle of water displacement, we can determine the volume of the metal. In this case, the relative density of the metal is 11.3 g/mL.
Step-by-step explanation:
To find the relative density of the metal, we need to use the formula:
Relative Density = Mass of Metal / Volume of Metal
In this case, the mass of the metal is 282.5g. To find the volume, we need to use the principle of water displacement. When the metal block is fully immersed in the overflow can, it displaces the same volume of water. From the information given, the mass of the water and beaker is 45g, and the mass of the beaker alone is 20g. Therefore, the mass of the water is 45g - 20g = 25g. Since 1g of water is equal to 1mL, the volume of the metal is 25mL. Substituting the values into the formula, we get:
Relative Density = 282.5g / 25mL = 11.3 g/mL