Question

Abi measures the volume and weight of four objects and records his data in this table.

A 3-column table with 4 rows titled volume and weight. The first column is labeled object with entries W, X, Y, Z. The second column is labeled volume with entries 10 centimeters cubed, 122 centimeters cubed, 56 centimeters cubed, 18 centimeters cubed. The third column is labeled weight with entries 2 pounds, 3 pounds, 1 pound, 7 pounds.

Which object has the most mass?

W
X
Y
Z

Answer 1

To determine which object has the most mass, we need to calculate the density (mass/volume) for each object using the provided volume and weight data. Since weight is given in pounds, we can equate weight to mass for comparison, as they are directly related in this context.

Here is the data provided:

- Object W: Volume = 10 cm³, Weight = 2 pounds
- Object X: Volume = 122 cm³, Weight = 3 pounds
- Object Y: Volume = 56 cm³, Weight = 1 pound
- Object Z: Volume = 18 cm³, Weight = 7 pounds

Now, let's calculate the density (mass/volume) for each object:

1. **Object W:**
\[
\text{Density} = \frac{\text{Weight}}{\text{Volume}} = \frac{2 \text{ pounds}}{10 \text{ cm}^3} = 0.2 \text{ pounds/cm}^3
\]

2. **Object X:**
\[
\text{Density} = \frac{3 \text{ pounds}}{122 \text{ cm}^3} \approx 0.02459 \text{ pounds/cm}^3
\]

3. **Object Y:**
\[
\text{Density} = \frac{1 \text{ pound}}{56 \text{ cm}^3} \approx 0.01786 \text{ pounds/cm}^3
\]

4. **Object Z:**
\[
\text{Density} = \frac{7 \text{ pounds}}{18 \text{ cm}^3} \approx 0.38889 \text{ pounds/cm}^3
\]

Now, comparing the densities:

- Object W: 0.2 pounds/cm³
- Object X: 0.02459 pounds/cm³
- Object Y: 0.01786 pounds/cm³
- Object Z: approximately 0.38889 pounds/cm³

Thus, Object Z has the highest density and therefore has the most mass relative to its volume.

**Conclusion: Object Z has the most mass.**