Question
500 grams of sugar occupies a volume of 315 milliliters. What is the density of the sugar in grams per milliliter?
Group of answer choices
1.59 g/mm cubed
157,500 g/mm cubed
0.63 g/mm cubed
815 g/mm cubed
Group of answer choices
1.59 g/mm cubed
157,500 g/mm cubed
0.63 g/mm cubed
815 g/mm cubed
Answers
GPT-4o mini
To calculate the density of a substance, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, you have:
- Mass = 500 grams
- Volume = 315 milliliters
Now plug in the values:
\[
\text{Density} = \frac{500 \text{ grams}}{315 \text{ milliliters}} \approx 1.5873 \text{ g/mL}
\]
Rounding to two decimal places, the density is approximately 1.59 g/mL.
Therefore, the correct answer is:
**1.59 g/mm cubed** (Note: 1 mL is equivalent to 1 cm³, so the units can be expressed as g/mL or g/cm³).
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, you have:
- Mass = 500 grams
- Volume = 315 milliliters
Now plug in the values:
\[
\text{Density} = \frac{500 \text{ grams}}{315 \text{ milliliters}} \approx 1.5873 \text{ g/mL}
\]
Rounding to two decimal places, the density is approximately 1.59 g/mL.
Therefore, the correct answer is:
**1.59 g/mm cubed** (Note: 1 mL is equivalent to 1 cm³, so the units can be expressed as g/mL or g/cm³).