Final answer:
The density of the metallic block is calculated by converting the mass to grams and the dimensions to centimeters, and then using the formula for density. However, the calculated density of 3.16 g/cm³ is not among the provided options, suggesting an error in the question or options.
Step-by-step explanation:
Calculation of Metallic Block Density
To find the density of the metallic block in g/cm³, you need to use the formula density = mass/volume. Given that the mass of the block is 0.350 kg, we first need to convert this mass into grams. Since 1 kg = 1000 g, the mass in grams is 0.350 kg × 1000 g/kg = 350 g.
Now, calculate the volume of the block, taking the dimensions given in millimeters and converting them to centimeters: 45.0 mm = 4.5 cm, 63.0 mm = 6.3 cm, and 39.0 mm = 3.9 cm. The volume in cm³ is calculated by multiplying these dimensions: Volume = length × width × height = 4.5 cm × 6.3 cm × 3.9 cm = 110.7 cm³.
Finally, calculate the density using the mass and volume: Density = mass / volume = 350 g / 110.7 cm³ = 3.16 g/cm³ (rounded to two decimal places), which is not listed among the offered options, indicating that there may be an error in the question or the provided options.