Final answer:
The density of gold is approximately 19.2 g/cm³.
Step-by-step explanation:
The density of gold can be calculated by dividing its mass by its volume. In this case, the mass of the gold cube is given as 18.3 ounces. First, we need to convert the mass to grams and the sides of the cube to centimeters. Since 1 ounce is equivalent to 28.35 grams, the mass of the gold cube is 18.3 ounces × 28.35 grams/ounce. Next, we calculate the volume of the cube by using the formula for the volume of a cube: volume = side length × side length × side length. In this case, the side length is 3 cm. Finally, we divide the mass (converted to grams) by the volume to find the density.
Density = mass/volume
Density = (18.3 ounces × 28.35 grams/ounce) / (3 cm × 3 cm × 3 cm)
Density ≈ 19.2 g/cm³