Apple juice in a glass has a mass of 0.25 kilograms and a volume of 320 cm3 . Which of the following correctly uses this information to calculate the density of the apple juice?

1 answer

To calculate the density of a substance, you can use the formula:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

In this case, the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³.

First, it's important to convert the mass into grams, since density is commonly expressed in grams per cubic centimeter (g/cm³).

1 kilogram = 1000 grams, so:

\[ 0.25 \ \text{kg} = 0.25 \times 1000 \ \text{g} = 250 \ \text{g} \]

Now we can use the density formula:

\[ \text{Density} = \frac{250 \ \text{g}}{320 \ \text{cm}^3} \]

Now, carrying out the division:

\[ \text{Density} = \frac{250}{320} \approx 0.78125 \ \text{g/cm}^3 \]

Thus, the density of the apple juice is approximately 0.78 g/cm³.