The mass and volume of each box is given in the chart below. Calculate the

Question

density of each box. Density = mass
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Volume
Box A mass is 10g and volume is 20cm3
Box B mass is 30g and volume is 30cm3
Box C mass is 170g and volume is 20cm3
which box has the greater density?

Answer 1

To calculate the density of each box, you can use the formula:

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

Now, let's calculate the density for each box:

1. Box A: \[ \text{Density}_A = \frac{10 , \text{g}}{20 , \text{cm}^3} = 0.5 , \text{g/cm}^3 \]

2. Box B: \[ \text{Density}_B = \frac{30 , \text{g}}{30 , \text{cm}^3} = 1.0 , \text{g/cm}^3 \]

3. Box C: \[ \text{Density}_C = \frac{170 , \text{g}}{20 , \text{cm}^3} = 8.5 , \text{g/cm}^3 \]

Now, let's compare the densities:

• Box A: \(0.5 , \text{g/cm}^3\)
• Box B: \(1.0 , \text{g/cm}^3\)
• Box C: \(8.5 , \text{g/cm}^3\)

Conclusion: Box C has the greatest density at \(8.5 , \text{g/cm}^3\).