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

0.00078 g/cm3
0.00078 g per cm cubed

0.78 g/cm3
0.78 g per cm cubed

80 g/cm3
80 g per cm cubed

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

1 answer

To calculate the density of the apple juice, you can use the formula:

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

Here, the mass of the apple juice is given as 0.25 kilograms, which can be converted to grams (since 1 kilogram = 1000 grams):

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

The volume is given as 320 cm³.

Now, plug these values into the density formula:

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

Calculating this gives:

\[ \text{Density} = 0.78125 , \text{g/cm}^3 \]

Rounding this to two decimal places gives approximately 0.78 g/cm³.

So, the correct answer from the options provided is:

0.78 g/cm³.