High School

A solid magnesium flare has a mass of 1300 g and a volume of [tex]743 \, \text{cm}^3[/tex].

What is the density of the magnesium?

Answer :

To find the density of the magnesium flare, you'll need to use the formula for density:

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

Here’s the step-by-step process to solve this:

1. Identify the given values:
- The mass of the magnesium flare is 1300 grams ([tex]\( g \)[/tex]).
- The volume of the magnesium flare is 743 cubic centimeters ([tex]\( cm^3 \)[/tex]).

2. Write down the density formula:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Density} = \frac{1300 \text{ g}}{743 \text{ cm}^3} \][/tex]

4. Perform the division:
When you divide 1300 grams by 743 cubic centimeters, you get approximately 1.749663526244953.

5. State the result:
[tex]\[ \text{Density} \approx 1.7497 \text{ g/cm}^3 \][/tex]

So, the density of the magnesium flare is approximately [tex]\( 1.7497 \text{ g/cm}^3 \)[/tex].