Answer:
1.2 cm³.
Explanation:
The following data were obtained from the question:
Mass of neckl = 40 g
Density of gold = 19.3 g/cm³
Volume of gold =..?
Next, we shall determine the mass of the gold in the necklace.
From the question given above, we were told that 58% of the mass of the necklace is gold. Thus, we can obtain the mass of the gold in the necklace as follow:
Mass of neckl = 40 g
Mass of gold =?
Mass of gold = 58% × 40
Mass of gold = 58/100 × 40
Mass of gold = 23.2 g
Therefore, the mass of the gold in the necklace is 23.2 g
Finally, we shall determine the volume of the gold in the necklace as follow:
Density of gold = 19.3 g/cm³
Mass of gold = 23.2 g
Volume of gold =..?
Density = mass /volume
19.3 = 23.2/Volume
Cross multiply
19.3 × Volume = 23.2
Divide both side by 19.3
Volume = 23.2 / 19.3
Volume of gold = 1.2 cm³
Therefore, the volume of the gold in the necklace is 1.2 cm³
