Answer :
To find the density of the aluminum cube, we need to use the formula for density:
[tex]\[ \text{Density} = \frac{\text{mass}}{\text{volume}} \][/tex]
We'll follow these steps:
1. Calculate the Volume of the Cube:
Since the object is a cube, its volume can be calculated using the formula for the volume of a cube, which is:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
We're given that each side of the cube measures 4 cm. So we calculate:
[tex]\[ \text{Volume} = 4 \, \text{cm} \times 4 \, \text{cm} \times 4 \, \text{cm} = 64 \, \text{cm}^3 \][/tex]
2. Determine the Density:
We know the mass of the aluminum cube is 176 grams. Now we can use the volume we calculated to find the density:
[tex]\[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{176 \, \text{g}}{64 \, \text{cm}^3} \][/tex]
[tex]\[ \text{Density} = 2.75 \, \text{g/cm}^3 \][/tex]
So, the density of the aluminum cube is [tex]\( 2.75 \, \text{g/cm}^3 \)[/tex].
[tex]\[ \text{Density} = \frac{\text{mass}}{\text{volume}} \][/tex]
We'll follow these steps:
1. Calculate the Volume of the Cube:
Since the object is a cube, its volume can be calculated using the formula for the volume of a cube, which is:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
We're given that each side of the cube measures 4 cm. So we calculate:
[tex]\[ \text{Volume} = 4 \, \text{cm} \times 4 \, \text{cm} \times 4 \, \text{cm} = 64 \, \text{cm}^3 \][/tex]
2. Determine the Density:
We know the mass of the aluminum cube is 176 grams. Now we can use the volume we calculated to find the density:
[tex]\[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{176 \, \text{g}}{64 \, \text{cm}^3} \][/tex]
[tex]\[ \text{Density} = 2.75 \, \text{g/cm}^3 \][/tex]
So, the density of the aluminum cube is [tex]\( 2.75 \, \text{g/cm}^3 \)[/tex].
