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Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm³, the sample's volume is ____ cm³.



Answer :

To find the volume of Frank's sample of steel, we can use the formula for volume in terms of weight (mass) and density:

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

Given:
- Weight of the sample = 80 grams
- Density of the sample = 8 grams per cubic centimeter (g/cm³)

Step-by-step solution:

1. Identify the formula for volume:
[tex]\[ \text{Volume} = \frac{\text{Weight}}{\text{Density}} \][/tex]

2. Substitute the given values into the formula:
[tex]\[ \text{Volume} = \frac{80 \text{ grams}}{8 \text{ g/cm}^3} \][/tex]

3. Perform the division:
[tex]\[ \text{Volume} = 10 \text{ cm}^3 \][/tex]

So, the volume of Frank's sample of steel is [tex]\( 10 \)[/tex] cubic centimeters (cm³).