Question

In a jewelry store, Serena looks at a 63.1 g bracelet that is labeled platinum. She remembers that the density of platinum is 21.45 g/cmˆ3. If the bracelet is really made of platinum, what must its volume be?

a) 2.94 cm³
b) 4.69 cm³
c) 1360.95 cm³
d) 1353.01 cm³

Answer 1

To determine the volume of a platinum bracelet, divide its mass (63.1 g) by the density of platinum (21.45 g/cm³) to get a volume of 2.94 cm³, corresponding to option a).

Step-by-step explanation:

The question involves using the density formula to find the volume of a platinum bracelet given its mass and the density of platinum. To find the volume (V) of the bracelet, we will use the formula for density, which is density (d) = mass (m) / volume (V). By rearranging the formula to solve for volume, we get V = m / d. Given that the mass (m) of the bracelet is 63.1 g and the density (d) of platinum is 21.45 g/cm³, we can calculate the volume as follows:

V = m / d = 63.1 g / 21.45 g/cm³ = 2.94 cm³.

Therefore, if the bracelet is really made of platinum, its volume must be 2.94 cm³, which corresponds to option a).