Question

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

80 g/cm3
80 g per cm cubed

0.78 g/cm3
0.78 g per cm cubed

0.00078 g/cm3
0.00078 g per cm cubed

80,000 g/cm3

Answer 1

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

\[
\text{Density} = \frac{\text{mass}}{\text{volume}}
\]

Given that the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³, we first need to convert the mass into grams since the standard unit for density in this context is g/cm³.

1 kilogram = 1000 grams, therefore:

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

Now we can plug the 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 value, we get approximately 0.78 g/cm³.

So, the correct answer from the options provided is:

**0.78 g/cm³** or **0.78 g per cm cubed** (both forms are equivalent).