A 3-column table with 4 rows. The first column titled substances has entries aluminum, zinc, chromium, nickel. The second column titled density has entries 2.70 grams per centimeter cubed, 7.13 grams per centimeter cubed, 7.18 grams per centimeter cubed, 8.90 grams per centimeter cubed. The third column titled mass has entries 4.60 grams, 9.81 grams, 6.24 grams, 3.17 grams.

Question

Use the information in the table to identify the metal with a volume of 1.375 cm3.

aluminum
zinc
chromium
nickel

Answer 1

To find the metal with a volume of 1.375 cm³, we can use the mass and density values provided in the table to calculate the volume for each metal using the formula:

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

Now, let's calculate the volume for each metal:

1. Aluminum:

   • Mass = 4.60 grams
   • Density = 2.70 g/cm³
   • Volume = \( \frac{4.60 \text{ grams}}{2.70 \text{ g/cm}^3} \) ≈ 1.70 cm³

2. Zinc:

   • Mass = 9.81 grams
   • Density = 7.13 g/cm³
   • Volume = \( \frac{9.81 \text{ grams}}{7.13 \text{ g/cm}^3} \) ≈ 1.38 cm³

3. Chromium:

   • Mass = 6.24 grams
   • Density = 7.18 g/cm³
   • Volume = \( \frac{6.24 \text{ grams}}{7.18 \text{ g/cm}^3} \) ≈ 0.87 cm³

4. Nickel:

   • Mass = 3.17 grams
   • Density = 8.90 g/cm³
   • Volume = \( \frac{3.17 \text{ grams}}{8.90 \text{ g/cm}^3} \) ≈ 0.36 cm³

From our calculations, we find that the metal with a volume closest to 1.375 cm³ is zinc with a calculated volume of approximately 1.38 cm³.