Final answer:
To find the volume of a 13 g gold nugget with a density of 19.3 g/cm³, use the formula V = m/D, which gives a volume of approximately 0.673 cm³.
Step-by-step explanation:
The student is asking how to calculate the volume of a gold nugget that weighs 13 grams, given that the density of gold is 19.3 g/cm³. To find this, we use the density formula, which is D = m/V, where D is density, m is mass, and V is volume. You can rearrange this formula to solve for volume (V) as V = m/D. Plugging in the values, we have V = 13 g / 19.3 g/cm³. After doing the math, the volume of the gold nugget turns out to be approximately 0.673 cm³.