Sure, let's work through this problem step-by-step by calculating the mass of each object and then determining which one has the most mass.
1. Calculate the Mass for Object W:
- Volume: [tex]\(10 \, \text{cm}^3\)[/tex]
- Weight: [tex]\(2 \, \text{lb}\)[/tex]
- Mass = Volume [tex]\(\times\)[/tex] Weight = [tex]\(10 \, \text{cm}^3 \times 2 \, \text{lb} = 20 \, \text{mass units}\)[/tex]
2. Calculate the Mass for Object X:
- Volume: [tex]\(122 \, \text{cm}^3\)[/tex]
- Weight: [tex]\(3 \, \text{lb}\)[/tex]
- Mass = Volume [tex]\(\times\)[/tex] Weight = [tex]\(122 \, \text{cm}^3 \times 3 \, \text{lb} = 366 \, \text{mass units}\)[/tex]
3. Calculate the Mass for Object Y:
- Volume: [tex]\(56 \, \text{cm}^3\)[/tex]
- Weight: [tex]\(1 \, \text{lb}\)[/tex]
- Mass = Volume [tex]\(\times\)[/tex] Weight = [tex]\(56 \, \text{cm}^3 \times 1 \, \text{lb} = 56 \, \text{mass units}\)[/tex]
4. Calculate the Mass for Object Z:
- Volume: [tex]\(18 \, \text{cm}^3\)[/tex]
- Weight: [tex]\(7 \, \text{lb}\)[/tex]
- Mass = Volume [tex]\(\times\)[/tex] Weight = [tex]\(18 \, \text{cm}^3 \times 7 \, \text{lb} = 126 \, \text{mass units}\)[/tex]
Now that we have the masses of all four objects, let's summarize them:
- Mass of Object W = 20 mass units
- Mass of Object X = 366 mass units
- Mass of Object Y = 56 mass units
- Mass of Object Z = 126 mass units
Comparing these masses, we see that the mass of Object X is the greatest, at 366 mass units. Therefore, the object with the most mass is:
X
