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 80,000 g/cm3 80,000 g per cm cubed 0.78 g/cm3 0.78 g per cm cubed 80 g/cm3
Answers
GPT-4o mini
To calculate the density of the apple juice, you can use the formula for density:
\[
\text{Density} = \frac{\text{mass}}{\text{volume}}
\]
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 from kilograms to grams, since density is commonly expressed in grams per cubic centimeter (g/cm³).
1. Convert the mass:
\[
0.25 \text{ kg} = 0.25 \times 1000 \text{ g} = 250 \text{ g}
\]
2. Now, calculate the density:
\[
\text{Density} = \frac{250 \text{ g}}{320 \text{ cm}³} \approx 0.78125 \text{ g/cm}³
\]
Rounding this to two decimal places gives:
\[
\text{Density} \approx 0.78 \text{ g/cm}³
\]
So the correct response is **0.78 g/cm³**.
\[
\text{Density} = \frac{\text{mass}}{\text{volume}}
\]
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 from kilograms to grams, since density is commonly expressed in grams per cubic centimeter (g/cm³).
1. Convert the mass:
\[
0.25 \text{ kg} = 0.25 \times 1000 \text{ g} = 250 \text{ g}
\]
2. Now, calculate the density:
\[
\text{Density} = \frac{250 \text{ g}}{320 \text{ cm}³} \approx 0.78125 \text{ g/cm}³
\]
Rounding this to two decimal places gives:
\[
\text{Density} \approx 0.78 \text{ g/cm}³
\]
So the correct response is **0.78 g/cm³**.