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 point)
Responses

0.78 g/cm3
0.78 g per cm cubed

0.00078 g/cm3
0.00078 g per cm cubed

80,000 g/cm3
80,000 g per cm cubed

80 g/cm3

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. We need to convert the mass into grams to match the units of volume (since 1 kilogram = 1000 grams):

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

Now, using the formula for density:

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

When rounded to two decimal places, the density of the apple juice is approximately 0.78 g/cm³.

Therefore, the correct response is:

0.78 g/cm³ (or 0.78 g per cm cubed)