To calculate the density of iron, you need to divide its mass by its volume. In this case, you're given the weight (which is a measure of mass) and the dimensions of the iron cube. Here's how you can calculate the density:
Convert the weight from grams to kilograms. There are 1,000 grams in a kilogram, so divide the weight by 1,000: Weight = 624 grams ÷ 1,000 = 0.624 kilograms
Calculate the volume of the iron cube. Since you have the dimensions of the cube, you can use the formula for the volume of a cube: Volume = side length × side length × side length Volume = 80 cm × 80 cm × 80 cm = 512,000 cm³
Convert the volume from cubic centimeters (cm³) to cubic meters (m³). There are 1,000,000 cm³ in a m³, so divide the volume by 1,000,000: Volume = 512,000 cm³ ÷ 1,000,000 = 0.512 m³
Calculate the density by dividing the mass by the volume: Density = Mass ÷ Volume Density = 0.624 kg ÷ 0.512 m³
The density of iron is approximately 1.219 kg/m³.
Therefore, the density of iron is approximately 7.86 grams per cubic centimeter (g/cm³) or 7,860 kilograms per cubic meter (kg/m³).