Final answer:
The mass of a 5.00 cm × 5.00 cm × 1.00 cm iron block is calculated by multiplying its volume (25.00 cm³) by the density of iron (7.9 g/cm³), resulting in a mass of 197.5 grams.
Step-by-step explanation:
To calculate the mass of a 5.00 cm × 5.00 cm × 1.00 cm block of iron, we must first determine its volume. Since the volume of a rectangular prism is found by multiplying its length, width, and height, the volume of this iron block is 5.00 cm × 5.00 cm × 1.00 cm = 25.00 cm³. Next, we use the density of iron, which is 7.9 g/cm³. By multiplying the volume by the density, we get the mass: 25.00 cm³ × 7.9 g/cm³ = 197.5 grams (rounded to three significant figures).